The measure of one angle is described as twelve more than four times a number. Its supplement is as twice as large. Find the measure of each angle using an equation.
180-A = 2A
so, A=60
B=120
Don't need the noise about 4x+12. whassup with that? Maybe I'm missing something here...
To find the measure of each angle, we can set up an equation based on the information given.
Let's assume the measure of the angle is 'x.'
The measure of one angle is described as twelve more than four times a number:
x = 4n + 12
The supplement of an angle is as twice as large:
180 - x = 2x
Now we can solve this system of equations to find the value of 'x' and then calculate the measure of each angle:
Using the equation x = 4n + 12, we can substitute this into the second equation:
180 - (4n + 12) = 2(4n + 12)
Simplify the equation:
180 - 4n - 12 = 8n + 24
Combine like terms:
168 - 4n = 8n + 24
Subtract 8n from both sides:
168 - 12n = 24
Subtract 168 from both sides:
-12n = -144
Divide both sides by -12:
n = 12
Now that we have the value of 'n,' we can substitute it back into x = 4n + 12:
x = 4(12) + 12
x = 48 + 12
x = 60
Therefore, the measure of the angle is 60 degrees. To find the measure of its supplement, we subtract it from 180:
180 - 60 = 120
So, the measure of each angle is 60 degrees and 120 degrees.