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

Please answer this question and tell me how to do it please.

GEOMETRY If mDEG 5x 4 mGEF7x 8 mDEH 9y 5 find the values of x and y Please answer this question and tell me how to do it please class=

Respuesta :

we are given

DEF is a line

so, sum of angles must be 180

angle(DEG)+angle(GEF)=180

now, we can plug values

[tex]5x-4+7x-8=180[/tex]

[tex]12x-12=180[/tex]

[tex]12x=192[/tex]

[tex]x=16[/tex].........Answer

vertically opposite angle must be equal

angle(GEF)=angle(DEH)

now, we can plug values

[tex]9y+5=7x-8[/tex]

now, we can plug x=16

[tex]9y+5=7*16-8[/tex]

[tex]9y+5=104 [/tex]

[tex]9y=99 [/tex]

[tex]y=11 [/tex]...................Answer


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