In triangle ABC, the measure of angle B is 21 less than four times the measure of angle A, and the measure of angle C is 1 more than five times the measure of angle A. Find the measure of each angle.
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Step-by-step explanation:
The above is given. The interior angles of a triangle add to 180.
4A-21 + 5A+1 + A =180
10A-20=180
10A = 200
A = 20
B=4A-21=4(20)-21=59
C=5A+1=5(20)+1=101
When you know the measure of all interior angles, you can find the two exterior angels adjacent to each interior angle by subtracting the interior angle from 180.
The two exterior angles adjacent to A = 180-20=160
The two exterior angles adjacent to B = 180=59=121
The two exterior angles adjacent to C = 180-101=79
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