Question

in the figure show that xy||EF

Answer 1

Answer:

Proved

Step-by-step explanation:

in the figure show that xy||EF

Lets extend the line EF toward E Such that it cut line RY at point O

∠YRE = ∠ORE = 36° ( O is on line RY)

we will get Δ REO

∠REF = ∠ORE + ∠ROE

150° = 36° + ∠ROE

=> ∠ROE = 114°

∠YOE + ∠ROE = 180°  ( Straight Line)

=> ∠YOE + 114° = 180°

=>  ∠YOE  = 66°

∠XYR = ∠XYO = 66°  ( as O lies on RY)

∠YOE = ∠XYO = 66°

XY ║ OE

XY  ║ EF  ( OE is the extension of EF line only)

QED

Answer 2

Answer:

Step-by-step explanation: