Question

Find the value of x.
65
7
78°
106°
X=

Answer 1

Given:

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

We know that, the sum of all exterior angles of a quadrilateral is always 360 degrees.

The below figure represents the four exterior angles of the quadrilateral. So,

`65^\circ+106^\circ+78^\circ+x^\circ=360^\circ`

`249^\circ+x^\circ=360^\circ`

`x^\circ=360^\circ -249^\circ`

`x^\circ=111^\circ`

Therefore, the measure of x is
`111^\circ`.