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Stella [2.4K]
3 years ago
11

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

Mathematics
1 answer:
Colt1911 [192]3 years ago
4 0

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

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Answer:

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Step-by-step explanation:

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_________________

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