Question

State the angle relationship of the 2 angles and then solve for x

Answer 1

Angle Relationship: Alternate interior angles

x = 13

Explanation:

Alternate interior angles are two non-adjacent interior angles on opposite sides of a transversal that intersects two parallel lines. The theorem states that alternate interior angles are congruent or equal.

In this case:

(9x + 2)° and 119° are alternate interior angles.

So

(9x + 2)° = 119°

9x + 2 = 119

Subtract 2 on both sides:

9x + 2 - 2 = 119 - 2

9x = 117

Divide both sides by 9.

`( 9x)/(9)=(117)/(9)`

x = 17

Therefore, value of x is 17.