SSC CPO 2020 PYQ — Question 138

SSC CPO - 24 Nov 2020 - Shift 2 • Quantitative Aptitude • Q138

In ΔABC, ∠A = 68°. If I is the incentre of the triangle, then the measure of ∠BIC is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 124°.

Given:

In ΔABC,

∠A = 68°

We know that

As we know incentre is the meet point of all the angle bisectors

Incentre of a triangle = 90° + ∠A/2

Now, according to the question

On substituting the values in the formula

⇒ ∠BIC = 90° + 68°/2

⇒ ∠BIC = 124°