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°
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Correct Answer: 51°
Solution :
Let the equal angles be $x$.
The sum of the three angles of a triangle is 180°.
So, $x + x + 78° = 180°$
⇒ $2x = 180° - 78°$
⇒ $2x = 102°$
⇒ $x = 51°$
Hence, the correct answer is 51°.
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