Angle Relationships Challenge

What are complementary angles?

• Two angles that are adjacent to each other.

• Two angles that sum to 90 degrees.

• Two angles that are equal in measure.

• Two angles that sum to 180 degrees.

If angle A is 30 degrees, what is the measure of its complementary angle?

• 30 degrees

• 60 degrees

• 90 degrees

• 45 degrees

If angle B is 110 degrees, what is the measure of its supplementary angle?

• 60 degrees

• 90 degrees

• 100 degrees

• 70 degrees

If angle C and angle D are supplementary and angle C is 75 degrees, what is angle D?

• 135 degrees

• 90 degrees

• 105 degrees

• 120 degrees

Define vertical angles.

• Vertical angles are always acute angles.

• Vertical angles are pairs of opposite angles formed by the intersection of two lines, and they are equal in measure.

• Vertical angles are formed by the intersection of two parallel lines.

• Vertical angles are adjacent angles that share a common vertex.

If two angles are vertical and one measures 45 degrees, what is the measure of the other angle?

• 90 degrees

• 60 degrees

• 30 degrees

• 45 degrees

If angle E is 60 degrees, what is the measure of its complementary angle?

• 90 degrees

• 15 degrees

• 30 degrees

• 45 degrees

If angle F is 120 degrees, what is the measure of its supplementary angle?

• 60 degrees

• 30 degrees

• 90 degrees

• 150 degrees

If angle G is 3x + 15 degrees and angle H is 2x + 45 degrees, and they are complementary, what is the value of x?

• 10

• 8

• 6

• 4

If angle I is 90 degrees and angle J is its supplementary angle, what is the measure of angle J?

• 90 degrees

• 60 degrees

• 45 degrees

• 180 degrees