Infinite Algebra 2 - Angles and Angle Measure - Worksheet

Oct 8, 2026

Uploaded by Riley

Angles and angle measure practice for Infinite Algebra 2, focusing on converting between degree and radian measures, and between decimal degrees and degrees-minutes-seconds formats. The worksheet includes problems that require rewriting measures in different units, finding angle measures, drawing angles in standard position, and identifying the quadrant containing each terminal side. It provides multiple numbered items covering both conversion and geometric interpretation.

LanguageEnglish

CategoryExam

FormatPDF

Pages4

Reading Time10 min

AccessFree to download

Convert degree and radian measures

Convert decimal degrees and DMS

Find the measure of each angle

Draw an angle in standard position

Identify the quadrant of the terminal side

Kuta Software-Infinite Algebra 2 Name Angles and Angle Measure Date Period Convert each degree measure into radians and each radian measure into degrees. 1) 325° 2) 60° 3) 􀀐 ~~ ~~􀀗􀁓􀀖~~ ~~ 4) 􀀕􀀖􀀔~~ ~~ 5) 570° 6) 􀀐􀀖􀀔􀀘° Convert each decimal degree measure into degrees-minutes-seconds and each degrees-minutes-seconds into decimal degrees. 7) 􀀔􀀕􀀛􀀑􀀚􀀚° 8) 􀀕􀀖􀀕° 􀀚 ' 􀀘􀀚 " 9) 􀀐􀀔􀀘􀀗° 􀀗􀀚 ' 􀀗􀀕 " 10) 􀀐􀀓􀀑􀀜􀀕􀀕􀀘° Find the measure of each angle. 11) 12) 13) 14) 15) 16) Draw an angle with the given measure in standard position. 17) 􀀕􀀛􀀓° y x 19) 􀀐􀀔􀀕􀀓° y x 21) 􀀐 ~~ ~~􀀔~~ ~~􀀓􀀖􀁓~~ ~~ y x State the quadrant in which the terminal side of each angle lies. 23) 􀀐􀀘􀀓􀀜° 24) 􀀐 ~~ ~~􀀘~~ ~~ Kuta Software-Infinite Algebra 2 Angles and Angle Measure Name Date Period Convert each degree measure into radians and each radian measure into degrees. 1) 325° 􀀙􀀘􀀖~~ ~~ 2) 60° ~~ ~~ 􀀗􀁓 􀀕􀀖􀁓 3) 􀀐 4) 􀀖 􀀔􀀕 -240° 345° 5) 570° ~~ ~~􀀔~~ ~~􀀜􀀙􀁓~~ ~~ 6) 􀀐􀀖􀀔􀀘° 􀀐 ~~ ~~􀀚􀁓􀀗~~ ~~ Convert each decimal degree measure into degrees-minutes-seconds and each degrees-minutes-seconds into decimal degrees. 7) 􀀔􀀕􀀛􀀑􀀚􀀚° 8) 􀀕􀀖􀀕° 􀀚 ' 􀀘􀀚 " 􀀔􀀕􀀛° 􀀗􀀙 ' 􀀔􀀕 " 􀀕􀀖􀀕􀀑􀀔􀀖􀀕􀀘° 9) 􀀐􀀔􀀘􀀗° 􀀗􀀚 ' 􀀗􀀕 " 10) 􀀐􀀓􀀑􀀜􀀕􀀕􀀘° 􀀐􀀔􀀘􀀗􀀑􀀚􀀜􀀘° –􀀓° 􀀘􀀘 ' 􀀕􀀔 " Find the measure of each angle. 11) 13) y x 􀀖􀀘􀀓° y x 12) 14) y 􀁓 􀀙 x y x 􀀘􀁓 􀀙 􀀔􀀖􀁓 􀀐 􀀙 􀀐􀀕􀀘􀀓° 15) 􀀘􀀘􀁓 􀀔􀀕 16) 􀀖􀀚􀀓° Draw an angle with the given measure in standard position. 17) 􀀕􀀛􀀓° y x 19) 􀀐􀀔􀀕􀀓° y x 21) 􀀐 ~~ ~~􀀔~~ ~~􀀓􀀖􀁓~~ ~~ y x State the quadrant in which the terminal side of each angle lies. 23) 􀀐􀀘􀀓􀀜° III 24) 􀀐 ~~ ~~􀀘~~ ~~ III Create your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)

FAQs

What does the worksheet ask students to convert between degrees and radians?

It asks students to convert given degree measures into radian measures and convert given radian measures into degree measures.

How does the worksheet handle decimal degrees and degrees-minutes-seconds conversions?

It requires converting decimal degree measures into degrees-minutes-seconds and converting degrees-minutes-seconds back into decimal degrees.

What geometry tasks are included besides conversions?

Students must find the measure of angles, draw angles with specified measures in standard position, and state which quadrant each terminal side lies in.

Oct 8, 2026

Uploaded by Riley