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BlackZzzverrR [31]
3 years ago
12

[GEOMETRY] If m∠DEG= 5x - 4 m∠GEF=7x - 8 m∠DEH= 9y + 5 find the values of x and y

Mathematics
1 answer:
IgorLugansk [536]3 years ago
9 0

we are given

DEF is a line

so, sum of angles must be 180

angle(DEG)+angle(GEF)=180

now, we can plug values

5x-4+7x-8=180

12x-12=180

12x=192

x=16.........Answer

vertically opposite angle must be equal

angle(GEF)=angle(DEH)

now, we can plug values

9y+5=7x-8

now, we can plug x=16

9y+5=7*16-8

9y+5=104

9y=99

y=11...................Answer


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