Question

Lines m m and n n are parallel. They are cut by transversal t t . What other angle is equal to 65 65 degrees?

Answer 1

angle 2 is also 65º because they are corresponding angles. Using the vertical angles theorem, you can also say that angles 3 and 7 are 65º. so the answer to your question would be angle 3

Answer 2

B.
`\angle 3`

Explanation:

We have been given an image of two parallel lines intersected by a transversal. We are asked to find, which another angle will have measure of
`65^(\circ)`.

We know that alternate interior angles formed by a transversal by intersecting two parallel lines are equal.

Upon looking at our given image, we can see that angle that measures
`65^(\circ)` and
`\angle 3` are inside parallel lines and on the opposite sides of transversal, so,
`65^(\circ)` angle and
`\angle 3` are alternate interior angles.

Therefore, by alternate interior angles theorem,
`\angle 3` is the other angle equal to
`65^(\circ)` and option B is the correct choice.