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In the given figure L||m||n. p|l . if |
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Answer» 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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