Question

In fig l1 parallel to l2 and a1 parallel to a2. find the value of x

Answer 1

Hope It helps Uh....!!!!

ThAnKs :')

Answer 2

Answer:

32.5

Step-by-step explanation:

Given : $a_1||a_2$

            $l_1||l_2$

To Find : x

Solution:

Since $a_1||a_2$

So, ∠DEF=∠CBE (Corresponding angles are equal)

∠DEF=4x-15

So, ∠DEF=∠CBE=4x-15

Now ∠CBE+∠ABC = 180° (Linear pair)

$4x-15+\angle{ABC}=180$

$\angle{ABC}=180-4x+15$

$\angle{ABC}=195-4x$

Since  $l_1||l_2$

So, ∠ABC=∠JHI (Corresponding angles are equal)

So, ∠ABC=∠JHI

∠JHI =2x

So, $2x=195-4x$

$6x=195$

$x=\frac{195}{6}$

$x=32.5$

Hence the value of x is 32.5