Problems Solving with Unknown Angle Measures

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

Find the measure of the missing angle.

• 90^o

• 10⁰

• 130^o

• 50^o

Solve for x.

• 16

• 11

• 50

• 6

• 5

• 35

• 25

• 0

The figure below is not drawn to scale. Find ∠m.

solve for b

• 55°

• 125°

• -55°

• 35°

Solve for x

• 5

• 90

• 25

• 10

Use an algebraic equation to find the measures of both angles

• x = 3x - 20; 10° and 10°

• x + 3x - 20 = 90; 27.5° and 62.5°

• x + 3x - 20 = 180; 50° and 130°

• x + 3x - 20 = 180; 150° and 30°

Solve for x.

• 32

• 15

• 13

• 33