the given figure, AB parellel PQ . Find the value of x and y
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Answer:
x=70 , y=50
Step-by-step explanation:
AB parallel PQ
AEF= 75 ______ (vertically opposite angles)
AEF= EFQ_____(alternate angles)
75=EFG+GFQ
75=25+y
75-25=y
50=y
y=50
BEF+EFQ=180_____(interior angles)
(BEG+GEF)+(EFG+y)=180
20+GEF+25+50=180
95+GEF=180
GEF=180-95
GEF=85
in triangle EGF
GEF+EFG+FGE=180_____(sum of angles of triangle)
85+25+x=180
110+x=180
x=180-110
x=70
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