SSC CGL 2023 PYQ — Question 71

SSC CGL - 25 July 2023 - Shift 4 • Quantitative Aptitude • Q71

If cos(40° + x) = sin 30°, then the value of x is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 20°.

Given, cos(40° + x) = sin 30°

When cosx = siny, then x and y are complementary angles.

According to the given question,

40° + x + 30° = 90°

⇒ x = 90° - 70°

⇒ x = 20°