If mThe image shows an angle symbol. 6 = 30°, what is mThe image shows an angle symbol. 7?
Three arrows are shown. The first and second are parallel and travel left to right. The third is transverse, traveling through the parallels. The 4 top angles are labeled 1, 2, 4 and 3; the bottom 4 angles are labeled 5, 6, 8 and 7 (clockwise order).
A. 150°
B. 120°
C. 90°
D. 30°
Based on the given information, we can say that the angles 6 and 8 are corresponding angles, which means they are congruent. Therefore, mThe image shows an angle symbol. 8 = 30°.
Since angles 7 and 8 are a linear pair (adjacent angles that add up to 180 degrees), we can say that:
mThe image shows an angle symbol. 7 + mThe image shows an angle symbol. 8 = 180°
Substituting mThe image shows an angle symbol. 8 with 30°, we get:
mThe image shows an angle symbol. 7 + 30° = 180°
mThe image shows an angle symbol. 7 = 150°
Therefore, the answer is A. 150°.