Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle.
Question:

Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle.

Solution:

Given,

Three angles are 110°, 50° and 40°

Let the fourth angle be ‘x’

We have,

Sum of all angles of a quadrilateral = 360°

110° + 50° + 40° = 360°

⟹ x = 360° – 200°

⟹ x = 160°

Therefore, the required fourth angle is 160°.

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