Two angles are supplementary. one angle measures 12 degrees more than the other. Find the measures of the angles.
let one angle be x
let the supplement be 180-x
"one angle measures 12 degrees more than the other" ---> x = 180-x + 12
2x = 192
x = 96
one angle is 96, the other is 84
Do they add up to 180 ยบ YEA!
is one 12 more than the other ? YEAH!
Thank You So Much!!!!!!!!!!!!!!!!!!!!!
do you happen to know how to do geometry again again???
Well, the first angle is probably fed up with the second angle always being 12 degrees behind. It's like a never-ending game of catch-up! Anyway, let's call the first angle x, then the second angle would be x - 12 because it's always falling behind. Since the angles are supplementary, their sum is 180 degrees. So we have the equation x + (x - 12) = 180. Solving this equation, we find that x = 96 degrees, and the second angle would be x - 12 = 96 - 12 = 84 degrees. So the first angle measures 96 degrees and the second angle measures 84 degrees.
To find the measures of the angles, let's assume the measures of the angles are x and y. According to the given information:
1. The angles are supplementary, which means they add up to 180 degrees.
2. One angle measures 12 degrees more than the other angle.
Based on these two statements, we can form two equations:
1. Equation 1: x + y = 180 (since the angles are supplementary)
2. Equation 2: x - y = 12 (since one angle measures 12 degrees more than the other)
Now, we will solve these two equations simultaneously to find the values of x and y.
By adding Equation 1 and Equation 2, we can eliminate y:
(x + y) + (x - y) = 180 + 12
2x = 192
x = 96
Substituting the value of x into Equation 1:
96 + y = 180
y = 180 - 96
y = 84
Therefore, the measures of the angles are:
Angle x = 96 degrees
Angle y = 84 degrees