Exploring Complementary and Supplementary Angles

What is the sum of the measures of two complementary angles?

• 90 degrees

• 180 degrees

• 360 degrees

• 45 degrees

What is the sum of the measures of two supplementary angles?

• 45 degrees

• 360 degrees

• 180 degrees

• 90 degrees

What is the point called that divides a segment into two equal parts?

• Angle bisector

• Midpoint

• Perpendicular bisector

• Vertex

What is a ray that splits an angle into two equal parts called?

• Vertex

• Perpendicular bisector

• Angle bisector

• Midpoint

If two angles are complementary and one measures 43 degrees, what is the measure of the other angle?

• 47 degrees

• 137 degrees

• 53 degrees

• 27 degrees

If two angles are supplementary and one measures 115 degrees, what is the measure of the other angle?

• 95 degrees

• 65 degrees

• 75 degrees

• 85 degrees

In a linear pair, if one angle is 3x + 12 degrees and the other is 2x + 3 degrees, what is the value of x?

• 32

• 35

• 30

• 33

If a point is the midpoint of a segment and one segment is 2y + 6, while the other is 3y - 1, what is the value of y?

• 5

• 6

• 7

• 8

If a point is the midpoint of a segment and one segment is 2y + 6, while the other is 3y - 1, what is the length of the segment?

• 24

• 22

• 20

• 18

If an angle bisector divides an angle into two equal parts and one part is 10x - 6 degrees while the other is 12x - 14 degrees, what is the value of x?

• 3

• 2

• 4

• 5