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
50°
50 degrees
140°
140 degrees
40°
40 degrees
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1 answer
The angles formed by two lines intersecting a third line have properties of vertical angles and supplementary angles.
Since angles 6 and 7 are opposite to each other, they are vertical angles, which means they are equal.
Given that \( m\angle 6 = 140^\circ \), it follows that:
\[ m\angle 7 = m\angle 6 = 140^\circ. \]
Thus, the answer is:
140°.
