in JKL, if m<J is 7 less than m<L and m<K is 21 less than twice m<L, find the measure of each angle

Step-by-step explanation:

First you must know that the sum of angle in a triangle is 180degrees

In triangle JKL, <J+<K+<L = 180 1

If m<J is 7 less than m<L , then;

m<J = m<L -7 2

If m<K is 21 less than twice m<L then;

m<K = 2m<L - 21 3

Substitute 2 and 3 into 1;

from 1; m<J+m<K+m<L = 180

m<L - 7 + 2m<L - 21 + m<L = 180

4m<L - 28 = 180

4m<L = 180+28

4m<L = 208

m<L = 208/4

m<L = 52 degrees

Get m<J;

m<J = m<L -7

m<J = 52-7

m<J = 45 degrees

Get m<K;

m<K = 2m<L - 21

m<K = 2(52) - 21

m<K = 104 - 21

m<K = 83degrees

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step-by-step explanation:

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