Question

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A vertical line is intersected by two parallel lines lower m and lower n forming eight angles.
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Lines lower m and lower n intersect the line sloping downwards from left to right. Line lower m intersects at acute angles upper A and upper D and obtuse angles upper B and upper C. Line lower n intersects at acute angles upper E and upper H and obtuse angles upper F and upper G. All lines end in bidirectional arrows.


Lines m and n are parallel. Angle E
measures (3x+18)
degrees and angle B
measures (14x−8)
degrees. What is the value of x?

(1 point)
Responses

132
132

10
10

2611

Start Fraction 26 over 11 End Fraction

48

Answer 1

Because m and n are parallel, angle A equals angle E (corresponding angles). At the same intersection A and B are supplementary, so E + B = 180.

Set up the equation:
(3x + 18) + (14x − 8) = 180
17x + 10 = 180
17x = 170
x = 10

Answer: 10.