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Name two adjacent complementary angles.

Short Answer

Expert verified

The two adjacent complementary angles are MPLand QPL.

Step by step solution

01

Step 1. Definition of adjacent angles and complementary angles.

The adjacent angles are the angles that have the common vertex and common side.

The complementary angles are the angles whose sum is 90°.

02

Step 2. Observe the diagram.

From the given diagram it can be concluded that:

MPL=50and QPL=40.

The angles MPLand QPLare adjacent angles because they are having a common side and the common vertex P.

03

Step 3. Find the sum of the angles ∠MPL and ∠QPL.

The sum of the angles MPLand QPLis MPL+QPL.

Therefore,

MPL+QPL=50+40

=90

Therefore, the sum of the angles MPLand QPLis 90.

Therefore, the angles MPLandQPL are complementary angles.

04

Step 4. Name the two adjacent complementary angles.

As, the angles MPLand QPLare adjacent angles and also complementary angles.

Therefore, the two adjacent complementary angles areMPL and QPL.

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