Three angles of a quadrilateral are 75°, 90° and 75°. The fourth angle is

Question

Philoid · Accepted Answer

Given: 3 angles of quadrilateral - 75°, 90° and 75°

Let the fourth angle be x.

We know that,

Sum of all angles of a quadrilateral = 360°

⇒ 75° + 90° + 75° + x = 360°

⇒ 240° + x = 360°

⇒ x = 360° – 240°

⇒ x = 120°

Hence, the fourth angle is 120°.