Question

Three angles of a quadrilateral are 120degree, 96degree and 58degree. Find the fourth angle.

Answer 1

Given

Three angles of a quadrilateral are 120°, 96° , 58°

Find

The fourth angle of a quadrilateral

Step-by-step explanation:

Let the fourth angle be x°

The sum of all the angles of a quadrilateral is 360°

So,

=> 120° + 96° + 58° + x° = 360°

Or 274° + x° = 360°

Or x° = 360° - 274°

Or x° = 86°

Hence,

The fourth angle is 86°

Answer 2

☆ Solution ☆

Given :-

• Three angles of a quadrilateral are 120°, 96° and 58°.

To Find :-

• The fourth angle of the quadrilateral.

Step-by-Step-Explaination :-

Let,

The fourth angle of the quadrilateral be x°

Now,

As we know that :-

Sum of all angles of a quadrilateral = 360°

So,

120° + 96° + 58° + x° = 360°

274° + x° = 360°

x° = 360° - 274°

x° = 86

Hence,

The fourth angle of the quadrilateral is 86°.