Question

What is the value of x and the measure of ∠LNM, respectively?

A. x = 25 ; ∠LNM = 155
B. x = 155 ; ∠LNM = 25
C. x = 45 ; ∠LNM = 135
D. x = 135 ; ∠LNM = 45

Pls dont put nonsense answer thank you

Answer 1

Option C: x = 45, ∠LNM = 135

Explanation:

Both the angles are supplementary which means they both add up to a straight angle or 180°;

45 + 3x = 180

=> First subtract 45 on each side of "="

3x = 135

=> Now divide both sides of "=" by 3

• x = 45

Now to find measure of angle LNM, substitute in 45 for x

3x = ∠LNM

3(45) = ∠LNM

• 135 = ∠LNM

Hope this helps!

Answer 2

Linear pair of angles are of 180°. So,

45°+3x = 180°

=> 3x = 180°-45°

=> 3x = 135°

=> x = 135°/3

=> x = 45°