Question

in the given figure ab parallel CD find the value of x

Answer 1

Heya!!
Here is your answer:-
Given ,
AB || CD

To find ,
let 's name the point of vertex X° as P
angle DGP=angle GEF =85°( Exterior alternate angles)
angle PHG+angle PHC=180°
angle PHG= 180°- 115°
angle PHG= 65°
angle DGP = angle PHG + x°( Sum of interior opposite angles is equal to the exterior angle of the third side)
x°= angle DGP- angle PHG
x°= 85°-65°
x=20
x°= 20°

Hope it helps you.
#Be Brainly.

Answer 2

Concept

• The pair of angles that are generated on the outside of the parallel lines but on the other side of the transversal are known as alternate external angles.
• A transversal is a line that, at two different locations in the geometry, cuts through two lines in the same plane. Various sorts of angles in pairs, including successive internal angles, matching angles, and alternative angles, are produced by a transversal intersection with two lines.

Given

Given that AB || CD

Find

We need to find the value of x

Solution

Let the the point of vertex X° as P

∠DGP= ∠GEF =85°( Exterior alternate angles)

∠PHG+∠PHC=180°

∠PHG= 180°- 115°

∠PHG= 65°

∠DGP = ∠PHG + x°( Sum of interior opposite angles is equal to the exterior angle of the third side)

x°= ∠DGP- ∠PHG

x°= 85°-65°

x=20

x°= 20°

Hence the value of x is 20°

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