Question

In figure ,If L1 ll L2 and L3 ll L4 .What is y in terms of x

Answer 1

90-x/2 will be the answer

Answer 2

Answer:

$\Rightarrow y=\frac{180-x}{2}$

Step-by-step explanation:

Refer the attached figure

$l_1||l_2$

∠BCK =∠BGE (corresponding angles)

∠BCK =∠BGE =x

Since $l_3||l_4$

So, ∠BGE =∠EGH(Alternate interior angles)

So, ∠BGE =∠EGH =x

Now ∠EGH +∠HGI+∠IJG = 180° (Linear pair )

$\Rightarrow x+y+y=180$

$\Rightarrow 2y=180-x$

$\Rightarrow y=\frac{180-x}{2}$

So, the value of y in terms of x is $\Rightarrow y=\frac{180-x}{2}$