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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 2: Q7 (page 51)

Name two complementary angles that are not adjacent.

Short Answer

Expert verified

The two complementary angles that are not adjacent are $∠ M P L$ and $∠ M L P$ .

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.

The given diagram is:

From the given diagram it can be concluded that:

$∠ M P L = 50$ and $∠ M L P = 40$ .

The angles $∠ M P L$ and $∠ M L P$ are not adjacent angles because they are having common side but they are not having common vertex.

03

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

The sum of the angles $∠ M P L$ and $∠ M L P$ is $∠ M P L + ∠ M L P$ .

Therefore,

$∠ M P L + ∠ M L P = 50 + 40$

$= 90$

Therefore, the sum of the angles $∠ M P L$ and $∠ M L P$ is 90.

Therefore, the angles $∠ M P L$ and $∠ M L P$ are complementary angles.

04

Step 4. Name the two complementary angles that are not adjacent.

As, the angles $∠ M P L$ and $∠ M L P$ are not adjacent angles but are complementary angles.

Therefore, the two complementary angles that are not adjacent are $∠ M P L$ and $∠ M L P$ .

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Most popular questions from this chapter

Justify each statement with a property from algebra or property of congruence.

If $2 x + y = 70$ and $y = 3 x$ then $2 x + 3 x = 70$ .

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I’ll try if you will.

Justify each statement with a property from algebra or property of congruence.

If $\bar{AB} ≅ \bar{CD}$ and $\bar{DC} ≅ \bar{EP}$ then $\bar{AB} ≅ \bar{EP}$ .

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