Q. 14.8( 22 Votes )

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

A. 90°

B. 95°

C. 105°

D. 120°

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°.

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