Question

the given figure, AB parellel PQ . Find the value of x and y​

Answer 1

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