Angle Relationships with Algebra

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

What does it mean if two angles are neither complementary nor supplementary?

Back

It means that the sum of their measures is not equal to 90 degrees or 180 degrees.

Front

If Angle 1 is 47° and Angle 2 is 38°, are they complementary, supplementary, or neither?

Back

Neither, because 47° + 38° = 85°, which is not 90° or 180°.

Front

How do you find the missing angle if one angle is known?

Back

Subtract the known angle from 90° (for complementary) or 180° (for supplementary) to find the missing angle.

Front

What is the measure of the missing angle if one angle is 60°?

Back

The missing angle is 30° if they are complementary (90° - 60°) or 120° if they are supplementary (180° - 60°).

Front

If Angle JOM is 10°, what is the relationship with Angle KOL if KOL is 170°?

Back

Angle JOM and Angle KOL are supplementary because 10° + 170° = 180°.

Front

How do you solve for x in angle equations?

Back

Set up an equation based on the angle relationships (complementary or supplementary) and solve for x.

Front

If x + 15 = 90, what is the value of x?

Back

x = 75.

Front

If x + 19 = 180, what is the value of x?

Back

x = 161.