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Chapter 12: Q4. (page 688)

鈭�1 and 鈭�2 aresupplementary angles, and m鈭�1=118掳. Find m鈭�2.

Short Answer

Expert verified

The measure of angle m鈭�2is 62掳.

Step by step solution

01

Step 1. Given Information.

m鈭�1=118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118掳+m鈭�2=180掳m鈭�2=180掳鈭�118掳=62掳

04

Step 4. Conclusion.

The measure of the angle that is supplementary to an angle measuring 118掳 is 62掳.

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Most popular questions from this chapter

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

m鈭�5=24掳m鈭�6=66掳

A quadrilateral has angle measures of 2x+1,鈭�x-3,鈭�100,鈭� and 3x-2掳. Find the value of x.

As shown in the diagram, the two structures of the Puerta de Europa (Door of Europe) in Madrid, Spain, lean toward each other at an angle of 15掳from the vertical.

  1. In the diagram, 鈭�1 and the angle that measures 15掳 are complementary angles. Find m鈭�1.
  2. Tell whether 鈭�1and 鈭�2 arecomplementary or supplementary angles. Then use your answer to part (a) to find m鈭�2.

What can you say about the measures of two vertical angles?

Use the given information to find m鈭�2.

鈭�1 and 鈭�2 arecomplementary angles, and m鈭�1=81掳.
See all solutions

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