ACAP Geometry Practice Test

Find x.

• 40 degrees

• 60 degrees

• 80 degrees

• 100 degrees

Find the measures of the missing angles in the figure below.

• 30 degrees and 60 degrees

• 50 degrees and 100 degrees

• 60 degrees and 90 degrees

• 60 degrees and 120 degrees

Answer explanation

Angles together that form a straight line are supplementary, the sum of the angles add up to 180. x + (x + 50) + 30 = 180, 2x + 80 = 180 , 2x = 100, x = 50

The sum of the measures of angles a and b is 155 degrees. What is the measure of angle b?

• 155 degrees

• 77.5 degrees

• 35 degrees

• 210.5 degrees

Answer explanation

Intersecting lines form vertical angles, which have the same angle measures. Since the sum of a + b = 155, divide by 2 to get the sum of each angle.

What is true about every pair of vertical angles?

• They are supplementary.

• They are complementary.

• They are equal in measure.

• They total 360 degrees.

If the sum of the measures of two angles is 180 degrees, they are called —

• supplementary angles

• complementary angles

• vertical angles

• equivalent angles

If angle a measures 30 degrees, what is the measure of angle b?

• 150 degrees

• 30 degrees

• 20 degrees

• 60 degrees

If the measure of the first of two complementary angles is 68 degrees, what is the measure of the second angle?

• 68 degrees

• 22 degrees

• 44 degrees

• 34 degrees

If the sum of the measures of angles a and b is 110 degrees, what is the measure of angle c?

• 180 degrees

• 125 degrees

• 70 degrees

• 55 degrees

Answer explanation

To find angle a: 110/2 = 55 degrees. Two intersecting lines form supplementary adjacent angles so 180 - 55 = 125 degree

If two angles are both supplementary and equal in measure, they must be

• vertical angles

• right angles

• adjacent angles

• obtuse angles

Answer explanation

Since right angles = 90 degrees. The sum of two right angles = 180 degrees which are supplementary

If the sum of the measures of angles a and b is 240 degrees, what is the measure of angle c?

• 160 degrees

• 150 degrees

• 60 degrees

• 30 degrees

Answer explanation

Angle(s) a and b are vertical and congruent. To find the measurement 240/20= 120. Since two intersecting lines formed supplementary adjacent angles a and c = 180. subtract 180 - 120 to get angle c = 60 degrees