Question

Find the value of x so that line m is parallel to line n.

A. 57
B. 51
C. 50
D. 49

Answer 1

I think you have to set 3x + 11 equal to 161 because they are alternate interior angles, hence they are congruent.

3x + 11 = 161
3x = 150
x = 50

Answer 2

,C) x =50

Explanation:

Given : Parallel line m and n in figure.

To find : Find the value of x

Solution : We have given

Two parallel line with traversal line

Alternate interior angle property : The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles are equal.

3x + 11 and angle 161 are alternate angle .

3x + 11 =161.

On subtracting both sides by 11

3x = 161 -11

3x = 150

On dividng both sides by 3

x =50

Therefore,C) x =50