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Question

In the adjacent figure AB||CD. Find the values of x,y and z.
570727_b91f6ba22cae4e1a90f3dd9d1680fed0.png

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Solution

Given AEP+PEC+BEC=180 (Supplementary angles or angle of a straight line )
x+70+x=1802x=18070=110x=1102=55


CEB+ECD=180 (Angles made on same side of parallel lines or consecutive interior angles )
x+z=18055+z=180z=18055=125

In ΔAPE, the sum of interior angles is equals to =180
APE+PEA+PAE=180
y+x+90=180y+55+90=180y+145=180y=180145=35

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