Question : Two angles of a triangle are equal and the third angle measures 70°. What is the measure of each of the unknown angles?
Option 1: 75°
Option 2: 45°
Option 3: 65°
Option 4: 55°
Correct Answer: 55°
Solution :
Let the equal angles of the triangle be $a$.
We know, the sum of the three angles of a triangle = 180°
According to the question,
$a + a + 70° = 180°$
⇒ $2a = 180° – 70°$
$\therefore a = 55°$
Hence, the correct answer is 55°.
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