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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Question : Two angles of a triangle are equal and the third angle measures 78°. What is the measure of each of the unknown angles?
Option 1: 50°
Option 2: 51°
Option 3: 49°
Option 4: 52°
Question : If the sum and difference of two angles are 135° and $\frac{\pi}{12}$, respectively, then the value of the angles in degree measure is:
Option 1: 70° and 65°
Option 2: 75° and 60°
Option 3: 45° and 90°
Option 4: 80° and 55°
Question : The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5 : 3 : 10 is:
Option 1: 20°
Option 2: 30°
Option 3: 50°
Option 4: 70°
Question : The angles of a triangle are in the ratio 2 : 3 : 7. What is the measure of the largest angle of the triangle?
Option 1: 100°
Option 2: 45°
Option 3: 90°
Option 4: 105°
Question : An exterior angle of a triangle is 115° and one of the interior opposite angles is 45°. The other two angles are:
Option 1: 65° and 70°
Option 2: 60° and 75°
Option 4: 50° and 85°
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