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In the figure, x:y:z=5:4:6. If XOY is a straight line, find th

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In the figure, $x : y : z = 5 : 4 : 6$ . If $XO Y$ is a straight line, find the values of $x, y$ and $z$

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In the figure,

x : y : z = 5 : 4 : 6

. If

XO Y

is a straight line, find the values of

x, y

and

z

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

From the figure it is given that

x : y : z = 5 : 4 : 6

We can also write it as

x + y + z = 5 + 4 + 6 = 15

It is given that

XO Y

is a straight line

So we know that

x + y + z = 180^{o}

As we know that the sum of ratio is

15

then we can write that the measure of

x

5

The sum of all the angles in a straight line is

180^{o}

So we get the measure of

x

x = (5/15) \times 180

x = 60

As we know the sum of ratio is

15

then we can write that the measure of

y

4

The sum of all the angles in a straight line is

180^{o}

So we get the measure of

y

y = (4/15) \times 180

y = 48

In order to find

z

we know that

x + y + z = 180^{o}

Substituting the values of

x

and

y

we get

60^{o} + 48^{o} + z = 180^{o}

z = 180^{o} - 60^{o} - 48^{o}

z = 72^{o}

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Question Text	In the figure, $x : y : z = 5 : 4 : 6$ . If $XO Y$ is a straight line, find the values of $x, y$ and $z$
Answer Type	Text solution:1
Upvotes	150

In the figure, x:y:z=5:4:6. If XOY is a straight line, find the values of x,y and z

Text solutionVerified

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In the figure, $x : y : z = 5 : 4 : 6$ . If $XO Y$ is a straight line, find the values of $x, y$ and $z$