Question

Given the triangle as marked below, find the measure of each angle.

Answer 1

x = 15

K = 88

J = 46

L = 46

Explanation:

since KJ = KL, triangle is an isosceles triangle. So J = L

3x + 1 = 5x - 29

5x - 3x = 29 + 1

2x = 30

x = 30/2

x = 15

J = 3x + 1 = 3(15) + 1 = 45 + 1 = 46

L = 5x - 29 = 5(15) - 29 = 75 - 29 = 46

K = 180 - (J + L) = 180 - (46 + 46) = 88