Question

The given value below figure find the value of x

Answer 1

x = 117°

Explanation:

We know:

The sum of the quadrilateral angles measures 360°.

Therefore we have the equation:

`30^o+39^o+48^o+m\angle D=360^o\qquad(1)`

The sum of angles x and D is equal to 360°. Therefore we have the other equation:

`x+m\angle D=360^o\qquad(2)`

From (1) and (2) we have:

`x+m\angle D=30^o+39^o+48^o+m\angle D\qquad\text{subtract}\ m\angle D\ \text{from both sides}\\\\x=30^o+39^o+48^o\\\\x=117^o`