Adjacent, Vertical, Complementary, Supplementary Angles

Front

What are adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex, but do not overlap.

Front

Define vertical angles.

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If two angles are supplementary and one measures 70 degrees, what is the measure of the other angle?

Back

The other angle measures 110 degrees (180 - 70 = 110).

Front

How do you solve for x in the equation 3x + 4x + 19 = 180?

Back

Combine like terms to get 7x + 19 = 180, then subtract 19 from both sides to get 7x = 161, and finally divide by 7 to find x.

Front

What is the sum of the measures of angles in a triangle?

Back

The sum of the measures of angles in a triangle is always 180 degrees.

Front

If angle A and angle B are complementary, and angle A measures 40 degrees, what is the measure of angle B?

Back

Angle B measures 50 degrees (90 - 40 = 50).

Front

What is the relationship between vertical angles?

Back

Vertical angles are always equal in measure.

Front

If two angles are adjacent and one measures 45 degrees, what is the maximum measure of the other angle if they are supplementary?

Back

The maximum measure of the other angle is 135 degrees (180 - 45 = 135).