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Answer:
angle efp = 75 degrees.
Step-by-step explanation:
Reason given in attachment.
Hope you'll understand it.
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Step-by-step explanation:
AB // CD (GIVEN )
FP bisect Angle EFB
So that angle EFP = Angle PFB
Angle CGH =150 °
Angle FGD = Angle CGH ( Vertical opposite angle)
Angle BFG + Angle FGD = 180°
Angle BFG + 150 = 180°
Angle BFG = 180 ° - 150° = 30°
Angle EFP + Angle PFB + Angle BFG = 180°.....(1)
( SUM OF LINEAR PAIR IS EQUAL TO 180°)
Angle EFP = Angle PFB ( given)
Let Angle EFP = X
putting values in equation in (1)
x + x + 30 = 180 °
2x = 180 - 30
x = 150 /2
x = 75 °
hence , angle EFP = 75°
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