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40 votes
The angles of a triangle add up to 180 degrees.The second angle is 24 degrees larger than the smallest angle.The third angle is 4 times as big as the smallest angle.Find the measure of the smallest angle

User Greg Buehler
by
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1 Answer

18 votes
18 votes

Given:

The angles of a triangle add up to 180 degrees.

The second angle is 24 degrees larger than the smallest angle.

The third angle is 4 times as big as the smallest angle.

Required:

Find the measure of the smallest angle

Step-by-step explanation:

A=24+B

C=4B

A+B+C=180

24+B+4B=180

5B=156

B=31.2 degree

Required answer:

B=31.2 degree

User Dmitriy Zapevalov
by
3.1k points
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