Question

in the given figure a b parallel to CD find the value of x​

Answer 1

Answer:

120⁰

Step-by-step explanation:

Given that : AB || CD

∠ABG = 120⁰

∠GDC = 140⁰

To Find : x

Construction : Draw a line GH from ∠G, parallel to AB.

Procedure :

∠HGB = z

∠DGH = y

∠BGD = z + y = x

GH || AB

=) AB || CD

=) GH || AB || CD

Now,

AB || GH and BG is transversal.

∠ABG + ∠HGB = 180⁰ (co-interior angles)

120⁰ + x= 180⁰

x= 60⁰

z = 60⁰

Now,

GH || CD and DG as transversal.

∠GDC + ∠DGH = 180⁰ (co-interior angles)

140⁰ + y = 180⁰

y = 40⁰

∠BGD = x + y

= 60⁰ + 40⁰

x = 100⁰

Hope this helped you..

this is definitely the right answer...

Answer 2

Step-by-step explanation:

I am actually in class 11th so i don't remeber the exact names of the formulas but the steps are completely right.

hope it helps you