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PLEASE HELP DUE IN 20 MINUITES

Two angles are supplementary, and one angle is 4 times larger than the other.
Let x be the measure of the smaller angle (in degrees).
Let y be the measure of the larger angle (in degrees).
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Solve for x then y

User Naheed Shareef
by
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1 Answer

16 votes
16 votes

Answer:

x=36, y=144

Explanation:

Ok so supplementary just means two angles that add up to 90. So as provided in the question let x be the smaller angle, and y be the larger angle.

By definition of a supplementary angle:
x+y=180

We can also derive another equation based on the relationship between x and y as given in the question. It says "one angle is 4 times larger than the other". Since we said that y is the larger number, it means that:
y=4x

We can substitute this definition into the first equation we made to solve for x


x+(4x)=180

Add like terms


5x=180

Divide both sides by 5


x=36

Since we know that y=4x, we can substitute in 36 as "x" to solve for y


y=4(36)\\y=144

User Jan Matousek
by
3.3k points