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Chapter 12: Q11. (page 689)

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

m鈭�1=22掳m鈭�2=58掳

Short Answer

Expert verified

The pair of angles are neither complementary nor supplementary to each other.

Step by step solution

01

Step 1. Given Information.

The choices are: complementary, supplementary, or neither

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.

Calculate the sum of the measures of the two angles.

m鈭�1+m鈭�2=22掳+58掳=80掳

04

Step 4. Conclusion.

Since the sum of angles is neither 90掳 nor 180掳, the given pair of angles are neither supplementary nor complementary.

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Most popular questions from this chapter

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.

Solve the equation by first clearing the fractions.

-112=12x-49

Let 鈭�1 and 鈭�2be vertical angles. What their measures if they are complementary angles? supplementary angles?

Describe the pattern. (P.772)

80,40,20,10,鈥�
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