Answer:
m∠I = 22
m∠J = 53
m∠K = 105
Explanation:
m∠I = (x + 7)
m∠J = (3x + 8)
m∠K = (7x)
m∠I + m∠J + m∠K = 180°
(x + 7) + (3x + 8) + (7x) = 180
x + 7 + 3x + 8 + 7x = 180
11x + 15 = 180
11x = 165
x = 15
m∠I = 15 + 7 = 22
m∠J = 3(15) + 8 = 53
m∠K = 7(15) = 105
Sum of triangle: 180
So we know that:
7x + 3x + 8 + x + 7 = 180
Combine like terms:
Plug in for x in order to find the angles.
You should be able to solve from here!
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