Question

In the given figure AB||CD angle BAF =80°,angle =45°.Find x and y.​

Answer 1

SOLUTION

Given

• ∠BAO = 80°
• ∠OEC = 45°

Answer

• x= 100°
• y= 35°

To Calculate

• Value of x and y

Step by step explanation

• ∠BAO = 80° ( Given)
• ∠OEC = 45° ( Given)

∠BAO+∠DOA = 180° (co- interior angles)

80 + x = 180

x= 180-80

x= 100°

∠DOA= ∠EOC = 100 ( V.O.A)

∠EOC = 100°

We know that,

Sum of all angles of a triangle = 180

In Tri. COE

y+ 45+ 100 = 180

y+ 145 = 180

y= 180-145

y= 35°

Hence

• x= 100°
• y= 35°

________________________________