Identify Each Pair of Angles As Adjacent, Vertical, Complementary, Supplementary, And/Or

1.4 Worksheet Name ______

Period:______

The small letters in the figures below represent angle measures. Without using a protractor, determine each lettered angle measure. ______1) a 60º ______2) b bº aº ______3) d

______4) e

______5) g

______6) h dº 65º hº eº gº 55º

Without using a protractor, find the value of x and the measure of ABC. Write the equation on notebook paper and circle the value of x.

______7) x A B ______8) mABC (4x + 50)º (2x + 60)º

______9) x

______10) mABC (8x – 10)º (7x + 40)º B

C (3x + 18)º A

Use the figure below to answer the questions. For #11-15, show your work on notebook paper and circle the value of x.

1 4 2 3

______11) m1 = 73º. Find m2.

______12) m2 = 67º. Find m4. ______13) Solve for x if m1 = (3x + 131)º and m2 = (2x + 34)º.

______14) Solve for x if m2 = (5x + 13)º and m4 = (4x + 17)º.

______15) Solve for m3 if m1 = (4x + 26)º and m3 = (3x + 28)º.

Given the following, find the value of the indicated angle. Show all work on notebook paper and circle your answers.

16) A and F are complementary. Find mA if mA = (x + 8)º and mF = (x – 10)º.

17) E and F are supplementary. Find mE if mE = (2x + 15)º and mF = (5x – 38)º.

18) M and N are a linear pair. Find mM if mM = 3xº and mN = 2xº.

19) 2 and 4 are vertical angles. Find m2 if m2 = (2x + 3)º and m4 = (4x – 7)º.

_____ 20) Which angles are NOT adjacent? C [A] EZC, CZA B [B] BZC, CZD D [C] AZC, DZE [D] DZE, AZD A Z E

_____ 21) In the figure shown, mAED = 122º. Which of the following statements is FALSE? [A] BEC and CED are adjacent angles. A D [B] AEB and DEC are vertical angles. [C] mAEB = 58º E [D] BEC and CED are a linear pair. B C [E] BEC and CED are supplementary. [F] mBEC = 58º [G] DEC is an acute angle.