Respuesta :

Given:

Angles of the quadrilateral are 100°, 120°, 100° and x°.

To find:

The value of x.

Solution:

The sum of the angle measures of the quadrilateral is 360°.

[tex]\Rightarrow 100^\circ+120^\circ+100^\circ+x^\circ=360^\circ[/tex]

[tex]\Rightarrow 320^\circ+x^\circ=360^\circ[/tex]

Subtract 320° from both sides.

[tex]\Rightarrow 320^\circ+x^\circ-320^\circ=360^\circ-320^\circ[/tex]

[tex]\Rightarrow x^\circ=40^\circ[/tex]

The equation of 320 + x = 360.

The value of x is 40.