Two angles of a triangle are equal and the third angle measures 78°. What is the measure of each of the unknown angles?

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 2)
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  1. 50o
  2. 51o
  3. 49o
  4. 52o

Answer (Detailed Solution Below)

Option 2 : 51o
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Detailed Solution

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Given:

Angle 1 = Angle 2 

Angle 3 = 780

Concept used:

Sum of all angles of a triangle is 1800.

Calculation:

Let, angle 1 = angle 2 = x

now,

x + x + 780 = 1800

2x = 180 - 78

2x = 102

x = 51

Hence, the correct answer is '510'.

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