Question

A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle is ______.

विकल्प

• 150°

• 120°

• 105°

• 140°

Answer 1

A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle is 120°.

Explanation:

Let the fourth angle be x,

Then 80° + 80° + 80° + x = 360°  ...[Sum of all the angles of quadrilateral is 360°]

⇒ 240° + x = 360°

⇒ x = 360° – 240°

⇒ x = 120°