ABC is a triangle in which angle B=2angleC. D is a point on BC such that AD bisect angle BAC and AB=CD.prove that angle BAC=72°
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Step-by-step explanation:
Triangle ABC and ADC are similar (two sides and one angle is equal)
So ∠ CAD = ∠ ACB = C
∠BAC = 2c
And in triangle ABC ∠BAC + ∠ABC + ∠ACB
= 2c+2c+c
= 5c
= 180c
= 180/5
= 36
∠BAC = 2c
= 2x36
= 72
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