Question

In the given figure, find the measure of the unknown angles

Answer 1

In the given figure,

a = d (vertically opposite angles)

d = f (corresponding angles)

f = 110${}^o$ (vertically opposite angles)

Thus, a = d = f = 110${}^o$

e +110${}^o$ = 180${}^o$ (linear pair of angles)

e = 180${}^o$ - 110${}^o$ = 70${}^o$

b = c (vertically opposite angles)

b = e (corresponding angles)

e = g (vertically opposite angles)

Thus, b = c = e = g = 70${}^o$