Problema Solution
One angle is 12 degrees less than four times another. Find the measure of each angle. If
A) they are complements of each other.
b) they are supplements of each other.
Answer provided by our tutors
let 'x' and 'y' be the angles
one angle is 12 degrees less than four times another
y = 4x - 12
A) they are complements of each other
x + y = 90
by solving the system of equations
y = 4x - 12
x + y = 90
we find
x = 69.6 degrees
y = 20.4 degrees
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b) they are supplements of each other
x + y = 180
by solving the system of equations
y = 4x - 12
x + y = 180
we find
x = 38.4 degrees
y = 141.6 degrees
click here to see the step by step solution of the system of equations