Find the measure of the missing angle in triangle ABC.

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Solution

$∠ A B C + ∠ B A C + ∠ B C A = 180^{\circ}$
Sum of interior angles of a triangle $= 180^{\circ}$
$∴ ∠ A B C = 180^{\circ} - (∠ B A C + ∠ B C A) = 180^{\circ} - (50 + 45) = 180 - 95 = 85^{\circ} ∴ ∠ A B C = 85^{\circ}$

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