Question

in the figure given below ABCD is a trapezium in which angle A equal to X + 45 degree angle B equal to Y angle c equal to 75 degree and Angle D equal to 2x - 15 find the values of X and Y​

Answer 1

Look at the above image

Trapezium is a quadrilateral with a pair of parallel opposite sides and sum of angles of two adjacent sides are supplementary.

angleD+angleC =180

angleD=2X-15

angleC=75

2X-15+75=180

2X+60=180

2X=120

X=60

angleA+angleB=180

X+45+Y=180

60+45+Y=180

105+Y=180

Y=180-105

Y=75

Or

angleA+angleB+angleC+angleD=360

X+45+Y+75+2X-15=360

3X+Y=360-105

3X+Y=255

3*60+Y=255

Y=255-180

Y=75

Hope it helps........

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Answer 2

Step-by-step explanation:

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