In the following figure if L1 + L3 = 120° then L2 + L4 is equal to
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LB+BU×hj-gh= 67738
Step-by-step explanation:
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⇒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
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