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.

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°