Question

In Triangle JKL, angle K is 3 times the measure of angle J, and angle L is 8 times the measure of angle J. Find the measure of each angle in Triangle JKL.

Answer 1

Solution:
here, in triangle JKL, let angle J be x,
Then,
angle K = 3x
angle L = 8x

Now,
J + K + L = 180°
x + 3x + 8x = 180°
12x = 180°
x = 180°/12
x = 15°
So,
angle J = x
= 15°
angle K = 3x
= 3*15°
= 45°
angle L = 8x
= 8*15°
= 120°