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Chapter 12: Q4. (page 689)

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

m鈭�3=108掳m鈭�4=72掳

Short Answer

Expert verified

The pair of anglesare 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=108掳+72掳=180掳

04

Step 4. Conclusion.

Since the sum of angles is 180掳, the given two angles are a supplementary angle pair.

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Most popular questions from this chapter

In Exercises 29 and 30, tell whether a triangle exists for the given description. If so, classify the triangle by its angles. If not, explain why not.

Two of the angles are supplementary.

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

m鈭�1=63掳m鈭�2=27掳

A transversal intersects lines mand n. If the corresponding angles are congruent, what can you conclude about lines m and n?

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

m鈭�5=37掳m鈭�6=53掳

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

鈭�4and鈭�8
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