Solving Angle Pairs

Front

What is the definition of Adjacent Angles?

Back

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

Front

What is the definition of Complementary Angles?

Back

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

Front

What is the definition of Supplementary Angles?

Back

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

Front

What is the definition of Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines cross. They are always equal.

Front

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

Back

60 degrees (90 - 30 = 60).

Front

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

Back

70 degrees (180 - 110 = 70).

Front

What is the relationship between two angles that are adjacent?

Back

Adjacent angles share a common vertex and side, and they do not overlap.

Front

If two angles are vertical, what can we say about their measures?

Back

Vertical angles are equal in measure.

Front

If angle C is 45 degrees, what is the measure of its complementary angle?

Back

45 degrees (90 - 45 = 45).

Front

If angle D is 150 degrees, what is the measure of its supplementary angle?

Back

30 degrees (180 - 150 = 30).