Answer:
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
