Two angles of a triangle are equal and the third angle measures 70o What is the measure of each of t...........

Quantitative Aptitude (CPO) Geometry

Two angles of a triangle are equal and the third angle measures 70^o. What is the measure of each of the unknown angles?

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SSC CPO 9th Nov 2022 Shift 2

75^o

45^o

65^o

55^o

- A triangle's interior angles add up to 180°.

- Two angles are equal, so let's call them x each.

- The third angle is given as 70°.

- This means: x + x + 70° = 180°.

- Simplifying: 2x + 70° = 180°.

- Subtract 70° from both sides: 2x = 110°.

- Divide by 2 to find x: x = 55°.

- Therefore, each of the unknown angles measures 55°.

- Option 1: 75° – Incorrect, the calculations don't match.

- Option 2: 45° – Incorrect, the calculations don't match.

- Option 3: 65° – Incorrect, the calculations don't match.

- Option 4: 55° – Correct, matches with calculated value.

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