Question

The angles of a quadrilateral are 110degree,72degree and 55degree and x degree. Find the value of x

Answer 1

Answer :-

• Value of x is 123°.

Given :-

• Three angles of a quadrilateral are 110°, 72°, 55°.

To Find :-

• Fourth angle of the quadrilateral.

Solution :-

Let

• Fourth angle of the quadrilateral be x

As we know that

• Sum of all angles of a quadrilateral is 360°.

According to question :-

⇒ 110° + 72° + 55° + x = 360°

⇒ 182° + 55° + x = 360°

⇒ 237° + x = 360°

⇒ x = 360° - 237°

⇒ x = 123°

Value of x is 123°

Verification :-

⇒ 110° + 72° + 55° + x = 360°

⇒ 182° + 55° + 123° = 360°

⇒ 237° + 123° = 360°

⇒ 360° = 360°

Hence, verified !

Answer 2

Solution is given in the above attachment..