Question

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From the figure find the value of y if AOB is a line

Answer 1

Hey !!

Here is your answer.,,

AOB is a straight line..

so, angle AOB + Angle BOA = 180 .......(linear pair)

3y + 1 + 4x - 3 = 180

7y -2 = 180

7y = 182

y = 182/7

y = 26

Hope this will help you..

Thanks....

Answer 2

Answer:

The value of y is 28.

Step-by-step explanation:

Given AOB is a straight line.

The angle on a straight line equals to 180°.

Therefore, the sum of all the angles formed on the given straight line must be equal to 180°.

The given angles on the straight line AOB are 40°, 3y and 2y.

Thus, the sum of them equals to 180°.

$40+3y +2y=180$

Adding the like terms,

$\implies 40+5y=180\implies 5y=180-40=140$

Dividing both sides by 5, we get

$\implies y=\dfrac{140}{5} =28$

Thus, the value of y is 28.

And hence the respective angles are

$3y=3\times 28=84^o~\mbox{and}~2y=2\times 28=56^o$

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