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LA and ZB are supplementary. If the mZB is 49°, what is the m/A? What type of reasoning do you use, inductive or deductive, when solving this problem? Explain.

LA and ZB are supplementary. If the mZB is 49°, what is the m/A? What type of reasoning do you use, inductive or deductive, when solving this problem? Explain.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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LA and ZB are supplementary. If the mZB is 49°, what is the m/A? What type of reasoning do you use, inductive or deductive, when solving this problem? Explain.
Transcribed Image Text:LA and ZB are supplementary. If the mZB is 49°, what is the m/A? What type of reasoning do you use, inductive or deductive, when solving this problem? Explain.
Expert Solution
Step 1

Given: ∠A and ∠B are supplementary and m∠B=49°.

To find: m∠A.

Solution:

We know that two angles are called supplementary if their sum is equal to 180°.

We have given that ∠A and ∠B are supplementary.

Therefore,

m∠A+m∠B=180°m∠A+49°=180°                  Given m∠B=49°m∠A=180°-49°m∠A=131°

Therefore, m∠A=131°.

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