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Chapter 2: Q7. (page 68)

In the diagram, AB炉鈯�BC炉.

Name:

a. two supplementary angles.

b. two complementary angles.

Short Answer

Expert verified

a. Two supplementary angles are鈭�3 and鈭�4.

b. Two complementary angles are鈭�1 and鈭�2.

Step by step solution

01

Part a. Step 1. Observe the diagram.

Here, AB炉鈯�BC炉.

02

Part a. Step 2. Show the calculation.

As AB炉鈯�BC炉and

From the figure,

m鈭�3+m鈭�4=180掳.

Two angles whose sum is 180掳 are called supplementary angles.

So, 鈭�3 and 鈭�4 are two supplementary angles.

03

Part a. Step 3. State the conclusion.

Therefore, the two supplementary angles are 鈭�3 and 鈭�4.

04

Part b. Step 1. Observe the diagram.

Here,AB炉鈯�BC炉.

05

Part b. Step 2. Show the calculation.

As AB炉鈯�BC炉and

From the figure,

m鈭�1+m鈭�2=90掳

Two angles whose sum is 90掳 are called complementary angles

So, 鈭�1 and 鈭�2 are two complementary angles.

06

Part b. Step 3. State the conclusion.

Therefore, the two complementary angles are 鈭�1 and 鈭�2.

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Most popular questions from this chapter

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

m鈭�AEB+m鈭�BEF=180

What can you conclude if the following sentences are all true?

  1. If(1) p, then q.
  2. (2) p
  3. I(3) q, then not r.

(4) s or r

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

If AB=CD,CD=EFand EF=23then AB=23.

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

If 5y=鈭�20then y=鈭�4.

Copy everything shown and supply missing statements and reasons.

Given: 鈭�AODas shown

Prove: m鈭�AOD=m鈭�1+m鈭�2+m鈭�3

Proof:
See all solutions

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