Question

Note: Figure is not drawn to scale.

Lines AB and CD are parallel. If mX is 48°, what is mO?
A.
312°
B.
53°
C.
48°
D.
132°

Answer 1

Since line AB is parallel to line CD, we can use the corresponding angles theorem. This theorem states that if two parallel lines are intersected by a transversal, the corresponding angles are congruent.

In this case, angle X corresponds to angle O.

Therefore, mO = mX = 48°.

Therefore, the answer is C. 48°.