X and Y are supplementary angles. If X=5Y, find the value of X and Y
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x and y are supplementary angles. If x = 5y, find the value of x and y.
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Answer
When the sum of two angles is 180°, it is known to be a supplementary angle.
So here using the given value of 'x' we will find the values of both 'x' and 'y'.
x = 5y
y = y
Let's solve your equation step-by-step.
5y + y = 180
Step 1: Simplify the equation
⇒ 5y + y = 180
⇒ 6y = 180
Step 2: Divide 6 from both sides of the equation.
⇒ 6y ÷ 6 = 180 ÷ 6
⇒ y = 30
∴ x = 5y = 5(30) = 150°
∴ y = 30°
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