Question

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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

Answer:

The measure of angle N is (11x)°.

Step-by-step explanation:

Answer 2

The value of x is 10.

A triangle has 3 sides and 3 interior angles.

The total angles of a triangle = 180°

Therefore,

∠L = (5x - 10)°

∠M = 30°

∠N = 11x

∠L + ∠M + ∠N = 180°

5x - 10 + 30° + 11x = 180

combine like terms

16x = 180 - 20

16x = 160

x = 160/16

x = 10

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