Three angles of a quadrilateral are 50°, 40° and 123°. Find its fourth angle.

Solution:

Given, the angles of a quadrilateral are 50°, 40° and 123°.

We have to find the value of 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, 50° + 40° + 123° + x = 360°

90° + 123° + x = 360°

213° + x = 360°

x = 360° - 213°

x = 147°

Therefore, the value of x is 147°

✦ Try This: Three angles of a quadrilateral are 60°, 70° and 100°. Find its fourth angle.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Solved Problem 31

Three angles of a quadrilateral are 50°, 40° and 123°. Find its fourth angle.

Summary:

Three angles of a quadrilateral are 50°, 40° and 123°. The value of the fourth angle is 147°.

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