Question

Can someone help? Need to find x, and measure of angle DEF

Answer 1

Answer:

x = 5

$m\angle DEF = 90\degree$

Step-by-step explanation:

GE is the angle bisector of quadrilateral DEFG,

Thus, by angle bisector property:

9x°= (5x + 20)°

9x = 5x + 20

9x - 5x = 20

4x = 20

x = 20/4

x = 5

$m\angle DEF = 9x\degree + (5x+20)\degree$

$m\angle DEF = (14x+20)\degree$

$m\angle DEF = (14\times 5+20)\degree$

$m\angle DEF = (70+20)\degree$

$m\angle DEF = 90\degree$