Question

in the adjacent figure AB//CD. Find the value of x,y,z​

Answer 1

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∠AEP+∠PEC+∠BEC=180∘ (Supplementary angles)

x°+70°+x°=180°

2x∘=180∘−70∘=110°

x=110°/2=55°

∠CEB+∠ECD=180° (Angles made on same side of parallel lines )

x+z=180°

55°+z=180°

z=180°−55°=125°

∠APE+∠PEA+∠PAE=180°

y+x+90°=180°

y+55°+90°=180°

y+145°=180°

y=180