SOLUTION: Determine the values of the variables in isosceles trapezoid WXYZ. W = (11x + 15)Degrees X = (8m)Degrees Z = (4x) Degrees Y = ? Find X and M X = ? m = ?

Question 1134749: Determine the values of the variables in isosceles trapezoid WXYZ.

W = (11x + 15)Degrees
X = (8m)Degrees
Z = (4x) Degrees
Y = ?
Find X and M
X = ?
m = ?
Answer by mathsolverplus(88) (Show Source): You can put this solution on YOUR website!

In an isosceles trapezoid, the upper base angles and the lower base angles are congruent. Also, in any quadrilateral, the sum of interior angles should be 360.
11x+15 = 8m
11x+15+8m+4x+4x=360
Substitute into the second equation:
11x+15+(11x+15)+8x=360
30x=330
x=11
11(11)+15=8m
136=8m
m=17

Angle Y = 4m = 4(17) = 68 degrees
X = 8m = 8(17) = 136 degrees
m = 17

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