Exploring Angle Relationships and Their Pairs

What is the sum of the measures of complementary angles?

• 45 degrees

• 180 degrees

• 360 degrees

• 90 degrees

If angle A and angle B are complementary and angle A is 65 degrees, what is the measure of angle B?

• 115 degrees

• 25 degrees

• 90 degrees

• 65 degrees

What is the sum of the measures of supplementary angles?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

If two angles form a straight line and one angle measures 120 degrees, what is the measure of the other angle?

• 240 degrees

• 180 degrees

• 120 degrees

• 60 degrees

Which of the following is a characteristic of adjacent angles?

• They are always equal in measure.

• They share a common vertex and a common side.

• They overlap each other.

• They sum up to 180 degrees.

Which statement is true about non-adjacent angles?

• They share a common side.

• They do not share a vertex or a side.

• They must be complementary.

• They overlap each other.

What is the value of x if angle CBA is 7x - 10 and angle DBC is 2x + 1, and they are complementary?

• 12

• 11

• 10

• 9

What are the measures of angles CBA and DBC if x is 11?

• 67 degrees and 23 degrees

• 70 degrees and 20 degrees

• 65 degrees and 25 degrees

• 60 degrees and 30 degrees

If angles FGH and JGH are supplementary and their measures are 5x + 20 and 3x respectively, what is the value of x?

• 20

• 30

• 25

• 15

What is the measure of angle FGH if x is 20?

• 100 degrees

• 120 degrees

• 160 degrees

• 140 degrees