The measure of x is 52 degrees and the measure of y is 128 degrees in the trapezoid shown in image.
What is trapezoid?
Trapezoid is the closed shaped quadrilateral in which one pair of opposite sides is parallel.
Properties of an isosceles trapezoid-
- Trapezoid is a closed shaped quadrilateral which has 4 sides.
- Minimum, one pair of opposite sides is parallel in trapezoid.
- The base angle are congruent to each other, trapezoid is equal.
- The sum of all the interior angle is equal to the 360 degrees.
The upper angle is 128 degree, shown in the figure. Thus, from the properties of a trapezoid, the value of y is also 128 degree.
[tex]y=128^o[/tex]
Now, the base angle corresponding to the x is also equal to the measure y. The sum of all the interior angle is equal to the 360 degrees. Thus,
[tex]128+x+128+x=360\\2x=360-128-128\\2x=104\\x=\dfrac{104}{2}\\x=52^o[/tex]
Thus, the measure of x is 52 degrees and the measure of y is 128 degrees in the trapezoid shown in the image.
Learn more about the trapezoid here
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