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If m/KLH = 134°, solve for x.

19=134+2
H
25°
N
(4x + 9)°
L
K

If m/KLH = 134°, solve for x. 19=134+2 H 25° N (4x + 9)° L K-example-1

1 Answer

3 votes

Explanation:

KLH is a triangle, and the sum of all angles in a triangle is 180°.

now, we know the angle at L = 134°.

because of the symmetry of the angles in such a regular parallelogram, the upper angle at H is 25°, and the lower angle at H (one of the angles in our triangle) is (4x + 9)°.

and the upper angle at K is (4x + 9)°, and the lower angle at K is 25°.

so, we have

180 = 134 + 25 + (4x + 9) = 159 + 4x + 9 = 168 + 4x

12 = 4x

x = 12/4 = 3

User Scott Leonard
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