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 = ?

Algebra ->  Formulas -> 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 = ?      Log On


   

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) About Me  (Show Source):
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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 11x%2B15=8m 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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