Since lines \( m \) and \( l \) are parallel and intersected by the transversal \( k \), the angles formed at the intersections have particular relationships based on the properties of parallel lines.
Given that \( m∠6 = 140° \), we know angle \( 7 \) and angle \( 6 \) are on the same straight line, therefore they are supplementary angles. Supplementary angles add up to 180°.
So, to find \( m∠7 \):
\[
m∠7 = 180° - m∠6 = 180° - 140° = 40°
\]
Hence, \( m∠7 \) is:
\[
\boxed{40°}
\]
5 of 55 of 5 Items
Question
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 point)
Responses
40°
40 degrees
50°
50 degrees
140°
140 degrees
180°
1 answer