Question
In Δ ABC, ∠ B= 68° and ∠ C 32°.
Sides AB and AC are produced to points D and E, respectively. The bisectors of ∠ DBC and ∠ BCE meet at F. What is the measure of ∠ BFC?Solution
∠B = 68˚ and ∠C = 32˚ ∠A = 180˚ - 68˚ - 32˚ = 80˚ Now, => ∠BFC = 90˚ - ∠A/2 => ∠BFC = 90˚ - 80˚/2 => ∠BFC = 50˚
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