If three angles of a quadrilateral are each equal to 75°, the fourth angle is
(a) 150°
(b) 135°
(c) 45°
(d) 75°

Solution:

Given, the three angles of a quadrilateral are each equal to 75°

We have to find the fourth angle.

Let the fourth angle be x.

We know that the sum of the angles of a quadrilateral is equal to 360 degrees.

So, 75° + 75° + 75° + x = 360°

3(75°) + x = 360°

225° + x = 360°

x = 360° - 225°

x = 135°

Therefore, the fourth angle is 135°

✦ Try This: If three angles of a quadrilateral are each equal to 50°, the fourth angle is (a) 150°, (b) 210°, (c) 45°, (d) 75°

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 1

If three angles of a quadrilateral are each equal to 75°, the fourth angle is (a) 150° (b) 135° (c) 45° (d) 75°

Summary:

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

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