Question

In the fig., find the value of y . it is not given that the lines intersect each other.​

Answer 1

Answer:

18 degree

Step-by-step explanation:

total no of y =(20y) so

360/20=18

Answer 2

SOLUTION✔

$\red{\text{NOTE:- it's not given that lines are intersecting, }}$$\red{\text{but by looking at figure we can say that the lines are intersecting.}}$

$\large\underline\bold{GIVEN,}$

$\sf\dashrightarrow \angle COE=2y$

$\sf\dashrightarrow \angle BOD=3y$

$\sf\dashrightarrow \angle ADF= 5y$

$\large\underline\bold{TO\:FIND,}$

$\sf\dashrightarrow THE\:VALUE\:OF\:y$

WE KNOW

$\sf\dashrightarrow\text{ when straight line intersect ,vertical angles are formed.}$

$\bf{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \dashrightarrow \angle AOF = \angle EOB }$

$\large\underline\bold{SOLUTION,}$

$\sf\therefore ON\:LINE \:CD,$

$\sf\therefore \text{ by angle sum property,}$

$\sf\dashrightarrow \angle COE +\angle EOB+ \angle BOD=180\degree$

$\sf\implies 2y+5y+3y=180\degree$

$\sf\implies 10y=180\degree$

$\sf\implies y= \dfrac{180}{10}$

$\sf\implies y= \cancel\dfrac{180}{10}$

$\sf\implies y=18\degree$

$\large{\boxed{\bf{ \star\:\: y=18\degree\:\: \star}}}$

$\large\underline\bold{THE\:VALUE\:OF\:'y'\:IS\: 18\degree}$

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