Use the image to answer the question.

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 point)
Responses

140°
140 degrees

50°
50 degrees

180°
180 degrees

40°

Answer 1

To solve for \( m∠7 \), we can use the property of vertically opposite angles and the fact that angles on a straight line sum up to \( 180° \).

Given:

• \( m∠6 = 140° \)

Since angles \( 6 \) and \( 7 \) are vertically opposite angles, they are equal: \[ m∠7 = m∠6 = 140° \]

Therefore, the measure of angle \( 7 \) is

\[ \boxed{140°}. \]