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Angle XQR is 180°. |  |  | M\u003Cbr>\u003Cbr>X Q\u003Cbr>\u003Cbr>112 + 4b\u003Cbr>-1a + 43\u003Cbr>R\u003Cbr>\u003Cbr>126 + 2b\u003Cbr>L\u003Cbr>\u003Cbr>28 + 4a\u003Cbr>X\u003Cbr> M\u003Cbr>Q R\u003Cbr>\u003Cbr>-3b + 95\u003Cbr>-7a + 154\u003Cbr>\u003Cbr>M\u003Cbr>\u003Cbr>X Q\u003Cbr>\u003Cbr>140-1b\u003Cbr>70-9a\u003Cbr>R\u003Cbr>\u003Cbr>-6b + 155\u003Cbr>L\u003Cbr>\u003Cbr>-2a + 49\u003Cbr>X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>32 + 1b\u003Cbr>168-7a\u003Cbr>\u003Cbr>104-8b\u003Cbr>L\u003Cbr>-1a + 144 |  |  | Answers\u003Cbr>1.    \u003Cbr>2.    \u003Cbr>3.    \u003Cbr>4.    \u003Cbr>5.    \u003Cbr>6.    \u003Cbr>7.    \u003Cbr>8.     |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7) | X\u003Cbr>\u003Cbr>107 \u003Cbr>97-8a\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>15 + 4b\u003Cbr>-9a + 186\u003Cbr>\u003Cbr>-1b + 45\u003Cbr>L\u003Cbr>-4a + 161\u003Cbr>X\u003Cbr> M\u003Cbr>Q R\u003Cbr>\u003Cbr>3b + 33\u003Cbr>2a + 107\u003Cbr>\u003Cbr>X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>4b + 22\u003Cbr>143-1a\u003Cbr>\u003Cbr>-3b + 64\u003Cbr>L\u003Cbr>\u003Cbr>3a + 107 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) |  |  |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  | 88 | 75 |  | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \nFinding Variable Value by Balancing Equations  \nName: Answer Key  \n\n| Find the value of 'a' and 'b'. Angle XQR is 180°. |  |  | M\u003Cbr>\u003Cbr>X\u003Cbr>Q\u003Cbr>112 + 4b\u003Cbr>R\u003Cbr>\u003Cbr>126 + 2b \u003Cbr>\u003Cbr>L\u003Cbr>\u003Cbr>131-7b\u003Cbr> L\u003Cbr>\u003Cbr>M\u003Cbr>\u003Cbr>X\u003Cbr>\u003Cbr>Q\u003Cbr>\u003Cbr>140-1b\u003Cbr>136-4a\u003Cbr>R\u003Cbr>X\u003Cbr>\u003Cbr>Q\u003Cbr>\u003Cbr>-6b + 155\u003Cbr>168-7a\u003Cbr>L\u003Cbr>\u003Cbr>-2a + 49\u003Cbr>M\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>104-8b\u003Cbr>L\u003Cbr>-1a + 144 |  |  | Answers 1.  4   4  2.  3   7  3.  5   6  4.  6   9  5.  8   8  6.  3   3  7.  9   6  8.  4   8  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7) | X\u003Cbr>\u003Cbr>107 \u003Cbr>97-8a\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>-1b + 45\u003Cbr>L\u003Cbr>-4a + 161\u003Cbr>\u003Cbr>49 + 1b\u003Cbr> L\u003Cbr>X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>4b + 22\u003Cbr>143-1a\u003Cbr>\u003Cbr>-3b + 64\u003Cbr>L\u003Cbr>\u003Cbr>3a + 107 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) |  |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  | 88 | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \n-1a + 43 28 + 4a  \n15 + 4b  \n2a + 107 5a + 83  \n70-9a  \nFinding Variable Value by Balancing Equations  \nName:  \n\n| Find the value of 'a' and 'b'. Angle XQR is 180°. |  |  | M\u003Cbr>\u003Cbr>X Q\u003Cbr>\u003Cbr>112 + 4b\u003Cbr>-1a + 43\u003Cbr>R\u003Cbr>\u003Cbr>126 + 2b\u003Cbr>L\u003Cbr>\u003Cbr>28 + 4a\u003Cbr>X\u003Cbr> M\u003Cbr>Q R\u003Cbr>\u003Cbr>-3b + 95\u003Cbr>-7a + 154\u003Cbr>\u003Cbr>M\u003Cbr>\u003Cbr>X Q\u003Cbr>\u003Cbr>140-1b\u003Cbr>70-9a\u003Cbr>R\u003Cbr>\u003Cbr>-6b + 155\u003Cbr>L\u003Cbr>\u003Cbr>-2a + 49 | Answers\u003Cbr>1.    \u003Cbr>2.    \u003Cbr>3.    \u003Cbr>4.    \u003Cbr>5.    \u003Cbr>6.     |\n| --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | X\u003Cbr>\u003Cbr>107 \u003Cbr>97-8a\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>15 + 4b\u003Cbr>-9a + 186\u003Cbr>\u003Cbr>-1b + 45\u003Cbr>L\u003Cbr>-4a + 161\u003Cbr>\u003Cbr>49 + 1b\u003Cbr> L\u003Cbr>\u003Cbr>\u003Cbr>5a + 83 | 2)\u003Cbr>4)\u003Cbr>6) |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n5  \n1-6  83  67  50  33  17  0","cbCaiopOgZHNB4J2","https://ap.wps.com/l/cbCaiopOgZHNB4J2","pdf",46879,"English","# Finding the Value of a and b\n## Angle XQR is 180°","[{\"question\":\"What is the main task in this worksheet?\",\"answer\":\"Find the values of variables a and b using balancing equations for the given angle expressions.\"},{\"question\":\"What geometric condition is used in the problems?\",\"answer\":\"Angle XQR is stated to be 180°, guiding how the expressions balance.\"},{\"question\":\"Where are the solutions provided?\",\"answer\":\"An “Answer Key” section lists the numeric answers for each numbered item.\"}]","Finding Variable Value by Balancing Equations - Answer Key | PDF",1790771593]