in the given figure x=4y and z=5y then the value of y is
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Step-by-step explanation:
Given, x = 4y and z = 5y
To show : y
Solution : x + y + z = 180°
=> 4y + y + 5y = 180°
=> 10y = 180°
=> y = 180/10
=> y = 18°
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Answered by
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SOLUTION
GIVEN
In the given figure x = 4y and z = 5y
TO DETERMINE
The value of y
EVALUATION
Here it is given that x = 4y and z = 5y
From the given figure we observe that
AOB is a straight line and sum of all the angles in a straight line is 180°
So we have
x + y + z = 180°
⇒ 4y + y + 5y = 180°
⇒ 10y = 180°
⇒ y = 18°
FINAL ANSWER
Hence the required value of y = 18°
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