Question

The diagram shows two parallel lines and a transversal. If the measure of 3 is 50, what is the measure of 5?

Answer 1

the measure of 5 would be 130 because consecutive angles are supplementary.

Answer 2

Option D is correct

the measure of angle 5 is 130 degree

Explanation:

Consecutive interior angles states that when two lparallel lines are cut by transversal, then the pair of angles on one side and inside these two parallel lines and also they add up to 180 degree.

The diagram shows that the two parallel lines and a transversal.

As per the statement:

If the measure of 3 is 50.

⇒
`m\angle 3 = 50`

By definition of consecutive interior angles :

`m\angle 3` and
`m\angle 5` are consecutive interior angles;

then;

`m \angle 3+ m\angle 5 =180^(\circ)`

Substitute the given values we have;

`50+ m\angle 5 =180^(\circ)`

Subtract 50 degree from both sides we have;

`m \angle 5 = 130^(\circ)`

Therefore, the measure of angle 5 is 130 degree