Quant Question Of The Day: 210
Triangle ABC is isosceles, and ∠ABC = x°. If the sum of the possible measures of ∠BAC is 180°, find x.
Triangle ABC is isosceles, and ∠ABC = x°. If the sum of the possible measures of ∠BAC is 180°, find x.
There are three possible triangles: either ∠ABC = ∠BCA, in which case ∠BAC = 180° −2x, ∠ABC = ∠BAC, in which case ∠BAC = x, or ∠BAC = ∠BCA, in which case ∠BAC = (180−x)°/ 2 . These sum to (540−3x)°/ 2 , so we have (540−3x)°/2 = 180
⇒ x =60°
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