Question

17. In the given figure, if l, 1 l, and lz || lq, what is equal to y in terms of x? ​

Answer 1

Answer:

y=

2

180−x

Step-by-step explanation:

Refer the attached figure

l_1||l_2l

1

∣∣l

2

∠BCK =∠BGE (corresponding angles)

∠BCK =∠BGE =x

Since l_3||l_4l

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⇒x+y+y=180

\Rightarrow 2y=180-x⇒2y=180−x

\Rightarrow y=\frac{180-x}{2}⇒y=

2

180−x

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

2

180−x