Question

What is the measure of LMN

Answer 1

To find the answer, the equation to solve it is 3x-70=x, since those angles are equal due to corresponding angles. Then just combine like terms to get -70=-2x. Then divide to get 35°.

Answer 2

The measure of angle LMN = 35 degrees.

What are corresponding angles?

Corresponding angles are angles that are formed as a result of two lines being cut by another line known as a transversal line, the angle formed at the edge of each of those two lines are called corresponding angles.

As a result of that, we can infer that:

x = (3x - 70)

x - 3x = - 70

-2x = - 70

Divide both sides by -2

`(-2x)/(-2)= (-70)/(-2)`

x = 35

Now, the measure of angle LMN = 3x - 70

= 3(35) - 70

= 105 - 70

= 35

Therefore, the measure of angle LMN = 35 degrees.