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FILL BLANK
In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a = ____.
Correct Answer: 11
Explanation/Reference:
Explanation:
The labeled angle formed by lines M and K and the supplement of the labeled angle formed by lines L and N are alternating angles. Therefore, they are congruent. The angle labeled (10a + 5) and its supplement, which is equal to (8b + 1), total 180º: (10a + 5) + (8b + 1) = 180. If b = 8, then:
(10a + 5) + (8 x 8 + 1) = 180
10a + 70 = 180 10a = 110 a = 11
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