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Chapter 2: Q6 (page 51)

Name two adjacent complementary angles.

Short Answer

Expert verified

The two adjacent complementary angles are 鈭�MPLand 鈭�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掳.

02

Step 2. Observe the diagram.

From the given diagram it can be concluded that:

鈭�MPL=50and 鈭�QPL=40.

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

03

Step 3. Find the sum of the angles 鈭燤PL and 鈭燪PL.

The sum of the angles 鈭�MPLand 鈭�QPLis 鈭�MPL+鈭�QPL.

Therefore,

鈭�MPL+鈭�QPL=50+40

=90

Therefore, the sum of the angles 鈭�MPLand 鈭�QPLis 90.

Therefore, the angles 鈭�MPLand鈭�QPL are complementary angles.

04

Step 4. Name the two adjacent complementary angles.

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

Therefore, the two adjacent complementary angles are鈭�MPL and 鈭�QPL.

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Most popular questions from this chapter

Provide a counterexample to show that each statement is false.

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State which definition, postulate, or theorem justifies the statement about the diagram.

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Consider the following statements:

Reflexive Property: Robot A is as rusty as itself.

Symmetric Property: If Robot A is as rusty as Robot B, then Robot B is as rusty as Robot A.

Transitive Property: If Robot A is as rusty as Robot B and Robot B is as rusty as Robot C, then Robot A is as rusty as Robot C.

A relation such as 鈥渋s as rusty as鈥� that is reflexive, symmetric, and transitive is an equivalence relation. Which of the following are equivalence relations?

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d. Is coplanar with (for lines)

State the hypothesis and the conclusion of each conditional.

only if

State the number that is paired with the bisector of 鈭�CDE.
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