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Chapter 12: Q5. (page 688)

鈭�3 and 鈭�4 arecomplementary angles, and m鈭�3=24掳. Find m鈭�4.

Short Answer

Expert verified

The measure of angle m鈭�4 is 66掳.

Step by step solution

01

Step 1. Given Information.

m鈭�3=24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�3 and 鈭�4 are complementary angles.

m鈭�3+m鈭�4=90掳24掳+m鈭�4=90掳m鈭�4=90掳鈭�24掳=66掳

04

Step 4. Conclusion.

Therefore, the measure of the angle that is complementary to an angle measuring 24掳 is 66掳.

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Most popular questions from this chapter

Use the given information to find m鈭�2.

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

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

m鈭�5=58掳m鈭�6=32掳

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

m鈭�3=146掳m鈭�4=44掳

Find the value of xin the figure. Then find the unknown angle measures.

Solve the equation by first clearing the fractions.

-112=12x-49
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