*a*and

*b*are parallel, and lines

*c*and

*d*are parallel.

What is the measure of ∠

*x*?

B.) 95°

C.) 100°

D..) 105°

E.) 113°

The missing angle in the triangle containing the angles of 30° and 75° is equal to 75°,

since angles of a triangle add up to 180°

Therefore, since lines

*a*and

*b*are parallel, and lines

*c*and

*d*are also parallel,

the angle to the right of ∠

*x*is also equal to 75°. A parallelogram is formed, where opposite angles are equal.

Angles in a straight line add up to 180°. Since the angle to the right of ∠

*x*is 75°,

then ∠

*x*is equal to 105°.

**D.) 105°**

*- Algebra House*