Question : The sum of two angles of a triangle is 116° and their difference is 24°. The measure of the smallest angle of the triangle is:
Option 1: 38°
Option 2: 28°
Option 3: 46°
Option 4: 64°
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Correct Answer: 46°
Solution : Let the angles be $x$ and $y$. According to the question, $x+y=116°$ -----(1) $x-y=24°$ ------(2) Solving equation 1 and 2, we get $x$ = 70°, $y$ = 46° Third angle = 180° – 70° – 46° = 64° So, the smallest angle is 46°. Hence, the correct answer is 46°.
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