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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
180°
180 degrees
40°
40 degrees
140°
140 degrees
50°
50 degrees
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page 11 of 11
1 answer
To determine \( m∠7 \), we need to recognize that angles 6 and 7 are vertical angles, which means they are opposite each other at the intersection of lines m and k. Vertical angles are always equal.
Given that: \[ m∠6 = 140° \]
Since vertical angles are congruent, we have: \[ m∠7 = m∠6 = 140° \]
Thus, the answer is: 140°.
