In the adjoining figure ,If x:y:z = 2:3:4 , so find the value of z .
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Given,
The figure and x:y:z = 2:3:4
To find,
The value of z.
Solution,
We can easily solve this problem by following the given steps.
According to the question,
We have:
The figure and x:y:z = 2:3:4.
Now, let's take the value of x, y and z to be (2a)°, (3a)° and (4a)° respectively.
We know that the angle made on a straight line is that of 180°.
So,
(2a+3a+4a)° = 180°
9a = 180
a = 180/9 (9 was in the multiplication on the left-hand side. So, it is in the division on the right-hand side.)
a = 20
Now,
The value of z = (4a)°
Putting the value of a:
z = (4×20)°
z = 80°
Hence, the value of z is 80°.
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