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°

Question

Mathematics

Kadence Fletcher

26 April, 07:57

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°

+3

Answers (1)

Know the Answer?

Irvin Lutz · Answer 1

The measurement of the ∠7 is 132°

Step-by-step 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°

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°

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°