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The worksheet lists multiple problems using angle measures in degrees as well as side lengths in units such as ft, in, mm, and cm. An accompanying answer section labels each statement as possible (p) or impossible (i), supporting self-checking and quick assessment of triangle validity using angle-sum and side-length triangle-inequality reasoning.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/identifying-triangle-angles-and-lengths-determine-if-the-statement-is-possible-or-impossible/481413/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/identifying-triangle-angles-and-lengths-determine-if-the-statement-is-possible-or-impossible/481413.png","ImageObject",300,407,{"name":92,"@type":93},"Fans","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do I decide if a triangle with three given angles is possible?","Question",{"text":112,"@type":113},"Add the three angles and check whether they sum to 180°. If they do, the triangle is possible; if not, it is impossible.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do I decide if a triangle with three given side lengths is possible?",{"text":117,"@type":113},"Check that the side lengths satisfy the triangle inequality (the longest side must be less than the sum of the other two). If the condition fails, the statement is impossible.",{"name":119,"@type":110,"acceptedAnswer":120},"What do p and i mean in this worksheet?",{"text":121,"@type":113},"p stands for possible and i stands for impossible for each listed triangle specification in the answer 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with the angles: 61°, 44° and 58° .  \n3) A triangle with the angles: 46°, 92° and 35° .  \n4) A triangle with the angles: 42°, 25° and 113° .  \n5) A triangle with the angles: 8°, 3° and 169° .  \n6) A triangle with the angles: 146°, 29° and 5° .  \n7) A triangle with the angles: 42°, 20° and 105° .  \n8) A triangle with the angles: 14°, 143° and 23° .  \n9) A triangle with the angles: 83°, 34° and 54° .  \n10) A triangle with the angles: 35°, 6° and 127° .  \n11) A triangle with the sides: 4ft, 2ft and 5ft.  \n12) A triangle with the sides: 1ft, 1ft and 2ft.  \n13) A triangle with the sides: 2ft, 10ft and 1ft.  \n14) A triangle with the sides: 3in, 3in and 3in.  \n15) A triangle with the sides: 4mm, 6mm and 3mm.  \n16) A triangle with the sides: 7mm, 4mm and 3mm.  \n17) A triangle with the sides: 4in, 6in and 3in.  \n18) A triangle with the sides: 9cm, 2cm and 1cm.  \n19) A triangle with the sides: 4ft, 10ft and 3ft.  \n20) A triangle with the sides: 6cm, 7cm and 8cm.  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nAnswers  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nIdentifying Triangle Angles and Lengths  \nName: Answer Key  \nDetermine if the statement is possible(p) or impossible(i).  \n1) A triangle with the angles: 32°, 87° and 61° .  \n2) A triangle with the angles: 61°, 44° and 58° .  \n3) A triangle with the angles: 46°, 92° and 35° .  \n4) A triangle with the angles: 42°, 25° and 113° .  \n5) A triangle with the angles: 8°, 3° and 169° .  \n6) A triangle with the angles: 146°, 29° and 5° .  \n7) A triangle with the angles: 42°, 20° and 105° .  \n8) A triangle with the angles: 14°, 143° and 23° .  \n9) A triangle with the angles: 83°, 34° and 54° .  \n10) A triangle with the angles: 35°, 6° and 127° .  \n11) A triangle with the sides: 4ft, 2ft and 5ft.  \n12) A triangle with the sides: 1ft, 1ft and 2ft.  \n13) A triangle with the sides: 2ft, 10ft and 1ft.  \n14) A triangle with the sides: 3in, 3in and 3in.  \n15) A triangle with the sides: 4mm, 6mm and 3mm.  \n16) A triangle with the sides: 7mm, 4mm and 3mm.  \n17) A triangle with the sides: 4in, 6in and 3in.  \n18) A triangle with the sides: 9cm, 2cm and 1cm.  \n19) A triangle with the sides: 4ft, 10ft and 3ft.  \n20) A triangle with the sides: 6cm, 7cm and 8cm.  \nAnswers  \n1. p  \n2. i  \n3. i  \n4. p  \n5. p  \n6. p  \n7. i  \n8. p  \n9. i  \n10. i  \n11. p  \n12. i  \n13. i  \n14. p  \n15. p  \n16. i  \n17. p  \n18. i  \n19. i  \n20. p  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nIdentifying Triangle Angles and Lengths  \nName:  \n\n| Determine if the statement is possible(p) or impossible(i). | 1. | Answers |\n| --- | --- | --- |\n| 1) A triangle with the angles: 32°, 87° and 61° . |  |  |\n|  |  |  |\n| 2) A triangle with the angles: 61°, 44° and 58° . | 2. |  |\n|  |  |  |\n| 3) A triangle with the angles: 46°, 92° and 35° . | 3.\u003Cbr>4. |  |\n|  |  |  |\n|  |  |  |\n| 4) A triangle with the angles: 42°, 25° and 113° . | 5. |  |\n|  |  |  |\n| 5) A triangle with the angles: 8°, 3° and 169° . | 6. |  |\n|  |  |  |\n| 6) A triangle with the angles: 146°, 29° and 5° . | 7.\u003Cbr>8. |  |\n|  |  |  |\n|  |  |  |\n| 7) A triangle with the angles: 42°, 20° and 105° . | 9. |  |\n|  |  |  |\n| 8) A triangle with the angles: 14°, 143° and 23° . | 10.\u003Cbr>11. |  |\n|  |  |  |\n|  |  |  |\n| 9) A triangle with the angles: 83°, 34° and 54° . | 12. |  |\n|  |  |  |\n| 10) A triangle with the angles: 35°, 6° and 127° . | 13. |  |\n|  |  |  |\n| 11) A triangle with the sides: 4ft, 2ft and 5ft. | 14. |  |\n|  |  |  |\n| 12) A triangle with the sides: 1ft, 1ft and 2ft.","cbCaiuojzMWkhc9j","https://ap.wps.com/l/cbCaiuojzMWkhc9j","pdf",42868,"English","# Determine if the statement is possible (p) or impossible (i)\n## Problems with triangle angles\n## Problems with triangle side lengths\n## Answer key","[{\"question\":\"How do I decide if a triangle with three given angles is possible?\",\"answer\":\"Add the three angles and check whether they sum to 180°. If they do, the triangle is possible; if not, it is impossible.\"},{\"question\":\"How do I decide if a triangle with three given side lengths is possible?\",\"answer\":\"Check that the side lengths satisfy the triangle inequality (the longest side must be less than the sum of the other two). If the condition fails, the statement is impossible.\"},{\"question\":\"What do p and i mean in this worksheet?\",\"answer\":\"p stands for possible and i stands for impossible for each listed triangle specification in the answer key.\"}]","Identifying Triangle Angles and Lengths - Determine if the statement is possible or impossible | PDF",1790796715]