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Find the value of x, y, and z

Find the value of x, y, and z-example-1
User TBogdan
by
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1 Answer

6 votes

Answer:

(x, y, z) = (7, 9, 90)

Explanation:

The two acute angles between l1 and l2 are vertical, so congruent.

(9x -7) = 8x

x = 7 . . . . . . . . . add 7-8x

These are supplementary to the obtuse angle between those lines:

8(7) + (13y +7) = 180

13y = 117 . . . . subtract 63

y = 9 . . . . . . . divide by 13

The angle marked z is supplementary to the angle marked as a right angle.

z + 90 = 180

z = 90

User Kyle Horkley
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8.0k points