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

Lines m m and n n are parallel. They are cut by transversal t t . What other angle-example-1
User Nisah
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6.7k points

2 Answers

6 votes

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

User Orkenstein
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6.2k points
6 votes

Answer:

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.

User Karah
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6.2k points