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Chapter 12: Q. 3 (page 689)

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

m鈭�1=10掳m鈭�2=70掳

Short Answer

Expert verified

The pair of anglesare 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=10掳+70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

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

m鈭�3=146掳m鈭�4=44掳

Let 鈭�1and 鈭�2be complementary angles, and let 鈭�2and 鈭�3be supplementary angles. If m鈭�1=x掳 and m鈭�2=2x掳, find x. Then find m鈭�1, m鈭�2, and m鈭�3.

In Example 3, find m鈭�2,m鈭�3,m鈭�4, and m鈭�5.

In Exercise 3-6, match the description with correct value.

Sum of measures of interior angles of a convex heptagon. 360掳

Use diagram shown.

  1. For 螖ABC and 螖DEC, find the measure of each angle and the length of each side.
  2. How are 螖ABC and螖DEC related? Explain your reasoning.
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