Question

In the following figure, find the unknown angles a and b, if m∠c = 110°.

Answer 1

Answer:

If p∥q then

125

∘

+∠e=180

∘

(linear pair)

∠e=55

∘

∠f=55

∘

(vrtically opposite angles)

∠a=∠e (pparallel toq)

∠a=55

∘

∠d=125

∘

(pparalleltoq)

∠c=∠f=55

∘

∠b+∠c=180

∘

(linear pair).

∠b=125

∘