If three parallel lines are cut by a transversal and one angle is measured to be 90 degrees, what can be said of the remaining?

Question

4 years ago

8

If three parallel lines are cut by a transversal and one angle is measured to be 90 degrees, what can be said of the remaining?

A. There all 90 degrees
B. Only some of the remaining angles are 90 degrees
C. They will all be complementary to each other
D. There isn't enough information to determine anything about the remaining angles

Mathematics

2 answers:

V125BC [204] · Answer 1 · 2021-12-12T03:38:53+03:00

Answer: A. There all 90 degrees

Step-by-step explanation:

Given: Three parallel lines are cut by a transversal and one angle is measured to be 90 degrees.

We know that if two lines cut by transversal the following pairs are equal:

Vertically opposite angles.
Corresponding angles.
Alternate interior angles.
Alternate exterior angles.

If one angles measures 90°, then its supplement would be 90°.

Then by using above properties , we will get measure of all angles as 90°.

irina [24] · Answer 2 · 2021-12-12T05:00:42+03:00

irina [24]4 years ago

7 0

I think the correct answer from the choices listed above is option A. <span>If three parallel lines are cut by a transversal and one angle is measured to be 90 degrees, then all other angles are 90 degrees. Hope this answers the question. Have a nice day.</span>