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Chapter 12: Q6. (page 689)

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

鈭�1 and 鈭�2 arecomplementary angles, and m鈭�1=45掳.

Short Answer

Expert verified

The measure of angle m鈭�2 is 45掳.

Step by step solution

01

Step 1. Given Information.

m鈭�1=45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 complementary angles.

m鈭�1+m鈭�2=90掳45掳+m鈭�2=90掳m鈭�2=90掳鈭�45掳=45掳

04

Step 4. Conclusion.

The measure of the angle that is complementary to an angle measuring 45掳 is 45掳.

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Most popular questions from this chapter

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

鈭�4and鈭�8

The intersection of the borders of Utah, Colorado, New Mexico, and Arizona is called Four corners. On the map, m鈭�1=90掳. Find m鈭�2, m鈭�3, and m鈭�4.

Draw a convex polygon that has exactly 8 interior angles.

The diagram shows the sculpture Clothespin casting a shadow. In the diagram, 鈭�2is the angle of the sun above the horizon.

  1. At a certain time of the day, m鈭�1=148掳, and the shadow has a length of 72 feet. Use a calculator to find the height of the sculpture. Round to the nearest tenth.
  2. At a certain time of the day, m鈭�1=135掳. How is the length of the shadow related to the height of the sculpture? Explain your reasoning.

The diagram shown is a side view of a chair designed in the 1930s. In the diagram, m鈭�1=95掳and m鈭�3=45掳. Tell whether the statement is true or false. Explain your reasoning.

  1. 鈭�2 and 鈭�3are corresponding angles.
  2. 鈭�2 and 鈭�3 have equal measures.
  3. 鈭�2 and 鈭�3are complementary angles.
  4. The sum of the measures of 鈭�1,鈭�2and 鈭�3is 180掳.
See all solutions

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