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
40°
40 degrees
180°
180 degrees
50°
1 answer
To find the measure of angle 7, we can use the fact that angles 6 and 7 are opposite angles (also known as vertical angles) formed by lines m and k.
Since vertical angles are equal, we have:
\[ m\angle 6 = m\angle 7 \]
Given that \( m\angle 6 = 140° \), then:
\[ m\angle 7 = 140° \]
So, the correct answer is:
140°
1 answer
1 answer
3 answers
9 answers