This is the question
- Two angles with measures 5x - 5 and 11x - 7 are supplementary. Find the Value of x and the measure of each angle.
Thank you so much for your help.
5x - 5 + 11x - 7 = 180
16x = 192
x = 12
To find the value of x and the measure of each angle, we need to use the fact that the sum of supplementary angles is 180 degrees.
So, we have the equation:
(5x - 5) + (11x - 7) = 180
To solve this equation, we can combine like terms:
5x + 11x - 5 - 7 = 180
16x - 12 = 180
Next, we can isolate the variable by adding 12 to both sides:
16x = 180 + 12
16x = 192
To find the value of x, we divide both sides by 16:
x = 192/16
x = 12
Now that we know the value of x is 12, we can substitute this value back into the original expressions for the angles:
First angle: 5x - 5 = (5 * 12) - 5 = 60 - 5 = 55 degrees
Second angle: 11x - 7 = (11 * 12) - 7 = 132 - 7 = 125 degrees
So, the value of x is 12, the measure of the first angle is 55 degrees, and the measure of the second angle is 125 degrees.