Question

In the given figure, find the value of y.
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Answer 1

Answer:

Y = 10°.

Step-by-step explanation:

Sum of all angles in the figure is 36Y.

Then the sum of all angles in the figure is 360°.

Then 36Y = 360°.

So, Y = 360°/36.

Y = 10°.

Hope it helps you.

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Answer 2

$\huge{\color{green}{\: \: \: ༄༄Answer༄༄}}$

$\huge {\underline\red{ Given}:-}$

$\:\:\:\:\:\:\:\:\:\angle AOB=6y$

$\:\:\:\:\:\:\:\:\:\angle FOE=4y$

$\:\:\:\:\:\:\:\:\:\angle DOC=8y$

$\huge {\underline\orange{ To Find}:-}$

$\:\:\:\:\:\:\:\:\:The \: value \: of \: y\:$

$\huge {\underline\blue{ Solution}:-}$

AOB is a straight line

therefore $\angle AOB=180°$

And $\angle FOE=\angle COB$[vertically opposite angle]

Hence ,

$\angle AOB+\angle COB+\angle COD= 180°$

...........Putting the value.............

$6y +4y +8y = 180°$

$18y\:\:\:\:\:\:\: = 180°$

$y\:\:\:\:\:\:\: =\frac{ 180°}{18}$

$y\:\:\:\:\:\:\: =10$

Hence y = 10

therefore$\:\:\angle AOB=6×10= 60°$

$\:\:\:\:\:\:\:\:\:\angle FOE=4×10=40°$

$\:\:\:\:\:\:\:\:\:\angle DOC=8×10=80°$

Hope it will help you

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