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.

Question

If m∠6=140°
, what is m∠7
?

(1 point)
Responses

180°
180 degrees

50°
50 degrees

40°
40 degrees

140°
140 degrees

Answer 1

Since angles 6 and 7 are opposite angles (also known as vertical angles), they are equal. Therefore, if \( m∠6 = 140° \), then:

\[ m∠7 = m∠6 = 140° \]

So the answer is:

140°