Question

Find the value of x in the following figure show that ab is parallel to CD

Answer 1

in first fig.

draw EF.

now,

given - angle A = 120° nd amgle C = 125°

angle A + angle AEF = 180°

( taking ab nd ef as parallel lines alt. int angles)

120° + AEF = 180°.

AEF= 60°.

Angle C+ angle CEF= 180°.

125° + CEF = 180 °.

CEF= 55°.

now,, angle E = angle AEF+ angle CEF.

= 60+ 55= 115°.

HENCE, x = 115°.

HØPE IT HLPS U.

Answer 2

draw EF.

now,

given - angle A = 120° nd amgle C = 125°

angle A + angle AEF = 180°

( taking ab nd ef as parallel lines alt. int angles)

120° + AEF = 180°.

AEF= 60°.

Angle C+ angle CEF= 180°.

125° + CEF = 180 °.

CEF= 55°.

now,, angle E = angle AEF+ angle CEF.

= 60+ 55= 115°.

HENCE, x = 115°.

HØPE IT HLPS U.