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Exam ACT Test topic 1 question 788 discussion

Actual exam question from Test Prep's ACT Test
Question #: 788
Topic #: 1
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In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a =?

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Suggested Answer: 11
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 180ֲ÷: (10a + 5) + (8b + 1) = 180. If b = 8, then:
(10a + 5) + (8 ֳ— 8 + 1) = 180
10a + 70 = 180
10a = 110
a = 11
by MTSANFO at Oct. 20, 2022, 3:29 a.m.

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MTSANFO
2 months ago
the 70 should be 65, so the answer would end up being 6
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