Question

The angle measures of triangle LMN are given: The measure of angle L is (5x−10)°. The measure of angle M is 30°. The measure of angle N is (11x)°. What is the value of x?

Answer 1

x=10

Explanation:

did the test

Answer 2

x = 10°

Explanation:

Sum of all three angles of triangle = 180°

∠L + ∠M + ∠N = 180

5x -10 + 30 + 11x = 180 {Combine like terms}

5x +11x -10 + 30 =180

16x + 20 = 180 {subtract 20 from both sides}

16x = 180 - 20

16x = 160 {Divide both sides by 16}

16x/16 = 160/16

x = 10°