Question

find the values of x, y, z in the following figure

Answer 1

angle BED=z (angles opposite to equal sides are equal)

in triangle BED

angle B+angleE+angleD=180 (ASP)

50+z+z=180

2z=180-50

z=130/2

z=65degree

x=z (alternate angles)

x=65degree

y+x+50=180

y+115=180

y=180-115

=65 degree

x=65degree
y =65degree
z=65degree

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