Question

4 Find The value of x in each
following figure Illm ​

Answer 1

Step-by-step explanation:

Here ∠HGB=∠AGE(vertically opposite angles)

∠HGB=110∘

Now, for parallel lines l and m, with transversal t.

∠HGB+∠GHD=180∘(Angles on the same side of the transversal are supplementary)

110∘+∠GHD=180∘

∠GHD=180∘−110∘=70∘

Answer 2

$\huge\bf\underline{\color{blue}{Question}}$

Find The value of x

$\huge\bf\underline{\color{blue}{Answer}}$

Given:- l//m

To find:- Value of x

Proof:- Since, l//m

line t is acting like a transversal

110°+Angle TOL= 180° $\sf\red{(Linear\:Pair)}$

Angle TOL= 180°-110°

Angle TOL=70°

From the figure,

Angle TOL+Angle x = 70°$\sf\red{(Corresponding\: Angles)}$

$\therefore\sf{\color{navy}{Value\:of\:x=70°}}$