Question

In figure l1 || l2, the value of x is​

Answer 1

Answer:

The value of x = 80°

First we have to name the angles.

We have to find the value of angle CDB

= 45°+35°+x=180°

x=180°-80°

x=100°

now , we have to find angle EDC

= 180°-100°

80°

according to problem

x= 80° ( corresponding angles )

Step-by-step explanation:

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Answer 2

Given:

l1 || l2

To find:

The value of x

Solution:

Sum of all angles in a triangle is 180°.

So, the value of the unknown angle, say, $p$, is

$p+35$°$+45$°$=180$°

⇒$p=180$°$-80$°

⇒$p=100$°

So, the exterior angle of the triangle is

$180$°$-100$°$=80$°

The value of the exterior angle is equal to the value of $x$ since l1 || l2, so the angles form corresponding angles.

So, $x=80$°.

Hence, the required value of $x$ is 80°.