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Can someone plzzz helpp mesee

Can someone plzzz helpp mesee-example-1
User ChronoXIII
by
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1 Answer

4 votes

Answer:


m\angle EFG = 52\degree

Explanation:

By inscribed angle theorem:


m\angle EFG =(1)/(2) m\angle EDG


(x+51)\degree =(1)/(2)(10x +94)\degree


(x+51)\degree =(1)/(2)* 2(5x +47)\degree


(x+51)\degree =(5x +47)\degree


x+51 =5x +47


x+51 - 47=5x - x


4=4x


x=(4)/(4)


x=1


\because m\angle EFG = (x+51)\degree


\therefore m\angle EFG = (1+51)\degree

(plug x = 1)


\therefore m\angle EFG = 52\degree

User NKD
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