9514 1404 393
Answer:
y = 6
Step-by-step explanation:
Let's call the marked angles A, B, C, clockwise from upper left.
Along the vertical transversal, we observe that A+90° and C are alternate exterior angles, so are congruent. This lets us find a value for x.
A+90 = C
4x +90 = 11x -8
98 = 7x
14 = x
Then angle A is ...
A = 4x° = 4(14)° = 56°
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Along the horizontal transversal, we observe that A and B are alternate exterior angles, so are congruent. This lets us find a value for y.
A = B
56° = (9y +2)°
54 = 9y
6 = y
The value of y is 6.
