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Chapter 12: Q15. (page 689)

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

m鈭�3=64掳m鈭�4=116掳

Short Answer

Expert verified

The pair of angles are 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�3+m鈭�4=64掳+116掳=180掳

04

Step 4. Conclusion.

Since the sum of angles is 180掳, the given pair of angles are supplementary to each other.

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Most popular questions from this chapter

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.

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

m鈭�1=140掳m鈭�2=40掳

Four exterior angles of a convex pentagon have measures 14掳, 87掳, 56掳, and 30掳. Find the measure of the fifth exterior angle.

In example 2, if you know only m鈭�6,can you find the measures of the other numbered angles? Explain.

Use the diagram shown. Identify all pairs of the specified angles.

Complementary angles
See all solutions

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