#1- Naming Angles

Name an angle or angle pair that satisfies each condition.1) Name two obtuse vertical angles.

2) Name a linear pair with vertex B.

3) Name an angle not adjacent to, but complementary to ∠FGC.

4) Name an angle adjacent and supplementary to ∠DCB.

Identify each pair of angles as adjacent, vertical, and/or as a linear pair.

5) ∠1∧∠2

6) ∠1∧∠6

7) ∠1∧∠5

8) ∠3∧∠2

#2- Complementary and Supplementary

1) Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measures of the angles.

2) If a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of the angles?

3) Find the measures of an angle and its complement if one angle measures 24 degrees more than the other.

#3- Algebra

1) If m∠FGE = 5x + 10, find the value of x so that FC ⊥ AE.

2) If m∠BGC = 16x - 4 and m∠CGD = 2x + 13,find the value of x so that ∠BGD is a right angle

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In the figure, CBand CDare opposite rays, CEbisects ∠DCF ,and CGbisects ∠FCB

3) If m∠DCE=4 x+15and m∠ECF=6 x−5 ,find m∠DCE .

4) QSbisects ∠PQR.Solve for xand find m∠PQRif m∠PQR=3 x−12and m∠PQS=30.

5) Find y ,m∠RPT ,and m∠TPW .

6) Find xand the m∠ AOCifm∠ AOB=4 x−1; m∠BOC=2x+15 ;m∠ AOC=8 x+8

Find x and m∠ ABC

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