SarkariPYQ

SSC CGL 2022 PYQ — Question 65

SSC CGL - 11 April 2022 - Shift 3 • Quantitative Aptitude • Q65

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In △LMN,the bisectors of ∠ L and ∠ N intersects at an angle  of 112°. What is the measures ( in degrees ) of ∠ M ?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 44

Solution :

Given : Angle bisectors of ∠ L and ∠ N intersects at an angle  of 112°.

In △LMN, The bisectors of ∠ L and ∠ N intersects at point O.

Using formula, ∠LON = 90° + ∠M/2

                               112° = 90° + ∠M/2

                               ∠M/2 = 112 - 90

                              ∠M/2 = 22

                                ∠M = 44°