Angles Examples

Are the following angles complementary or supplementary?

Angles and are supplementary angles, even though they aren't next to each other, because they add up to 180°.

Are the following angles complementary of supplementary?

Angles and are complementary because, even though they are not adjacent, they add up to 90°.

Name the following angles and angle pairs in the image below:

• an acute angle
• an obtuse angle
• a right angle
• two congruent angles
• two straight angles
• two complementary angles
• two supplementary angles

There are three acute angles: ∠VXW, ∠YXZ, ∠ZXU

There are three obtuse angles: ∠UXW, ∠WXY, ∠VXZ

There are two right angles: ∠VXY & ∠YXU

There are three sets of congruent angles in this image. Angles ∠ZXU and ∠VXW are vertical angles, so they are congruent. Angles and are also vertical angles, so they are congruent. Since ∠VXY & ∠YXU are both right angles, they're congruent as well.

Two straight angles are ∠VXU and ∠WXZ.

There is only one set of complementary angles, or angles that combine to make 90°, and they are ∠YXZ and ∠ZXU.

There are many sets of supplementary angles that are also linear pairs. Here are three of them:
∠YXZ and ∠VXZ
∠VXY and ∠YXU
∠ZXU and ∠UXW