Two angels are supplementary. One angle is 3 less than four times the other. Find the measures of the angles
Two angels are supplementary. One angle is 3 less than four times the other. Find the measures of the angles
Call one of the angles X
Call the other angle 4X – 3 This is 3 less than 4 times the X angle.
Added together they total 180o That's what supplementary means.
X + 4X – 3 = 180o
Combine the X's and
add 3 to both sides 5X = 183o
Divide both sides by 5 X = 36.6o This is one angle.
The other angle is 4X – 3 (4 • 36.6o) – 3o = 143.4o This is the other angle.
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