Question

In the triangle below, suppose that m ∠K=(x+6), m ∠L= (5x-2), and m ∠M=(2x)º.Find the degree measure of each angle in the triangle.

Answer 1

m ∠K= 28º

m ∠L= 108º

m∠M= 44º

Step-by-step explanation:

m ∠K=(x+6), m ∠L= (5x-2), and m∠M=(2x)º

m ∠K + m ∠L + m∠M = 180º (sum of angles in a triangle)

(x+6) + (5x-2) + (2x) = 180

collect like terms:

x + 5x + 2x + 6 - 2 = 180

8x + 4 = 180

8x = 180 -4

8x = 176

Divide both sides by 8:

8x/8 = 176/8

x = 22

m ∠K=(x+6) = 22 + 6

m ∠K= 28º

m ∠L= (5x-2) = 5(22) - 2

m ∠L= 108º

m∠M=(2x) = 2(22)

m∠M= 44º