Question

in the given figure L||m||n. p|l . if <BAC = 55°, find the value of x,y,z

plzz answer it ....​

Answer 1

Answer:

L parallel to n hence angle BEA = angle EAC

90 degree = angle EAC

therefore angle EAC = 90 degree

given angle BAC = 55 degree

angle EAC = angle BAC+anglePAB

90 degree = angle BAC + angle PAB

angle PAB =( 90 -55 ) degree

= 35 degree

angle PAB=Z

therefore angle z=35 degree

angle Z +angle AFD + angle FDA=180 degree (triangle sum property)

35+90+angle FDA= 180 degree

angle FDA = 180 - 125=75degree

angle FDA+angle y = 180 degree ( exterior angle property)

angle y= 180 - 75 = 125 degree

therefore y= 125 degree

angle y=angle x since parallel to m

therefore x = 125 degree

X=125 degree

Y=125 degree

Z=35 degree.

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