A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal. The measure of m∠MXY is 284°.
What is a Trapezoid?
A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.
The trapezoid has the opposite sides equal, therefore, the measure will be,
m∠MZ = m∠XY
5x+10 = 1+7x
5x-7x = 1-10
-2x = -9
x = 4.5
Now, the meausre of the angles can be written as,
m∠ZY = 7x+12
m∠ZY = 7(4.5)+12
m∠ZY = 43.5°
m∠MZ = 5x+10
m∠MZ = 5(4.5)+10
m∠MZ = 32.5°
Now, the measure of the m∠MXY can be written as,
m∠MXY = 360° - m∠ZY - m∠MZ
m∠MXY = 360° - 43.5° - 32.5°
m∠MXY = 284°
Hence, the measure of m∠MXY is 284°.
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