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Chapter 12: Q7. (page 689)

In Exercises 6 and 7, use the given information to find m鈭�2.

鈭�1 and 鈭�2 aresupplementary angles, and m鈭�1=160掳.

Short Answer

Expert verified

The measure of angle m鈭�2 is 20掳.

Step by step solution

01

Step 1. Given Information.

m鈭�1=160掳

02

Step 2. Concept used.

If the sum of two angles is 90掳 then the angles are called complementary angles and if the sum is 180掳 then the angles are called supplementary angles.

03

Step 3. Calculation.

Since 鈭�1 and 鈭�2 are supplementary angles.

m鈭�1+m鈭�2=180掳160掳+m鈭�2=180掳m鈭�2=180掳鈭�160掳=20掳

04

Step 4. Conclusion.

The measure of the angle that is supplementary to an angle measuring 160掳 is 20掳.

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Most popular questions from this chapter

Tell whether the angles are complementary, supplementary, or neither.

m鈭�1=22掳m鈭�2=58掳

Use the given information to find m鈭�2.

鈭�1 and 鈭�2 aresupplementary angles, and m鈭�1=137掳.

Use a compass and a straightedge to draw a segment whose length is the sum of the lengths of the given segments.

Tell whether the angles are complementary, supplementary, or neither.

m鈭�1=63掳m鈭�2=27掳

Tell whether the angles are complementary, supplementary, or neither.

m鈭�3=118掳m鈭�4=72掳
See all solutions

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