Question

If three angles of a quadrilateral are each equal to 75°, the fourth angle is ______.

Options

• 150°

• 135°

• 45°

• 75°

Answer 1

If three angles of a quadrilateral are each equal to 75°, the fourth angle is 135°.

Explanation:

Given: Three angles of quadrilateral = 75°

Let the fourth angle be x.

As we know that sum of interior angles of quadrilateral is equal to 360°.

So, 75° + 75° + 75° + x = 360°

225° + x = 360°

x = 360° – 225°

x = 135°

Therefore, the fourth angle is 135°.