Question

In the given figure, AB is parallel to CD, EH is parallel to BC, angle BAC = 60, angle DGH = 40.

Find the measures of the angles:
i) AEF
ii) ACD
iii)AFG​

Answer 1

Answer:

Given that ∠BAC=60

o

and ∠DGH=40

o

.

⟹ ∠EAF=60

o

.

Also, given, AE∥DG.

Now, ∠AEF=∠DGH=40

∘

(Corresponding angles).

Then, ∠AFG=∠AEF+∠EAF (Exterior angle property)

⟹ ∠AFG=40

∘

+60

∘

⟹ ∠AFG=100

∘

.