Question

Two parallel lines are cut by a transversal such that angle 3 and angle 7 are consecutive interior angles. If angle 3 is 48°, what is the measure of angle 7?

A.
32°
B.
48°
C.
90°
D.
132°

Answer 1

The measurement of the ∠7 is 132°

Explanation:

we are given that angle 3 and angle 7 are consecutive interior angles. The sum of consecutive interior angles is always 180°.

Hence

∠3+∠7=180°

48°+∠7=180°

Subtracting 48° from each side

∠7=132°