Question

Two angles are supplementary and have a ratio of 1:4. what is the size of the smaller angle

Answer 1

supplementary angles add up to 180 degrees
ratio of 1:4.....added = 5

1/5(180) = 180/5 = 36 <=== smaller angle
4/5(180) = 720/5 = 144 .... larger angle

Answer 2

We have that for the Question "Two angles are supplementary and have a ratio of 1:4. what is the size of the smaller angle" it can be said that  the size of the smaller angle is

x=36 degree

From the question we are told

Two angles are supplementary and have a ratio of 1:4. what is the size of the smaller angle

Generally the equation for "Two angles are supplementary"   is mathematically given as

$180=x+y\\\\Therefore\\\\x=\frac{1}{5}*180\\\\x=36$

Therefore

the size of the smaller angle is

x=36

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