In the given figure, ∠CAE=84∘. If ∠B:∠C=3:4, then ∠B = ____ and ∠C = ____.
Let, ∠B=3x∘ and ∠C=4x∘.
By Exterior angle property, ∠B+∠C=∠CAE 3x∘+4x∘=84∘ 7x=84∘ ∴ x=12∘
∴∠B=3×(12∘)=36∘
∴∠C=4×(12∘)=48∘
In the given figure, ∠CAE=84∘. If ∠B:∠C=3 : 4, then ∠B = ___ and ∠C = ___,