Question

find the angle z, y, a, c, d, e, f in this figure. Solve step by step.

Answer 1

Here y=35degrees because angles opposite to equal sides are equal

Z+35+y=180 (by angle sum property)

Z+35+35=180z=180-70=110

Z+y+f=180(same side of transversal)

110+35+f=180

f=180-145=35

F=e( angles opposite to equal sides are equal)

E=35

F+d+e=180( angle sum property)

35+35+d=180

D=180-70=110

C+d=180(linear pair)

C=180-110=70

C+a+a=180(angle sum property and both the sides are equal so both the angles will be equal)

2a=180-70=110

a=110/2=55.5

So

Y=35

Z=110

F=35

E=35

D=110

C=70

A=55.5

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