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Chapter 2: Q25 (page 65)

If 鈭�Aand 鈭�Bare supplementary, find the value of x, m鈭�Aand m鈭�B.

25. role="math" m鈭�A=x+16,m鈭�B=2x-16

Short Answer

Expert verified

The value of x is 60.

The measures of angles A and B are 76掳and104掳.

Step by step solution

01

Step 1. Definition of supplementary angles.

The supplementary angles are the angles whose sum is 180掳.

02

Step 2. Write the relation between the angles A and B.

As the angles A and B are supplementary, therefore, the sum of the angles A and B is 180掳.

Therefore, the relation between the angles A andB ism鈭�A+m鈭�B=180掳

03

- Find the value of x.

Find the value of x using the relation

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Most popular questions from this chapter

Mention what can be deduced from the given information.

Given: AC炉bisects DB炉

DB炉bisects AC炉

CE=BE

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

If EB炉bisects AF炉, then E is the midpoint of AF炉 .

Write each biconditional as two conditionals that are converses of each other.

Points are collinear if and only if they all lie in one line.

Copy everything shown and supply missing statements and reasons.

Given:m鈭�4+m鈭�6=180

Prove: m鈭�5=m鈭�6

Proof:

Copy everything shown and supply missing statements and reasons.

Given:ST=RN;IT=RU

Prove: SI=UN

Proof;
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