Use the image to answer the question.

An illustration shows two parallel slanting lines m and l intersecting a vertical line k. The angles formed at the intersection of lines l and k are 1, 2, 4, and 3. The angles 1 and 4 are opposite to each other while angles 2 and 3 are opposite to each other. The angles formed at the intersection of lines m and k are 5, 6, 8, and 7. The angles 5 and 8 are opposite to each other while angles 6 and 7 are opposite to each other.

If m∠6=140° , what is m∠7 ?

1 answer

We can see that angles 6 and 7 are alternate interior angles, which means they are congruent. Therefore, if m∠6 = 140°, then m∠7 = 140°.