The measure of (Angle)D is 5 times the measure of (Angle)E. The two angles are supplementary. Find the measure of each angle.
My Method: x+x*5=180
I tried this but it didn't work, any correct steps?
x + 5x = 180
6x = 180
x = 30
Actually, your initial equation is a good start. Let's correct it and solve it step by step.
Since the measure of angle D is 5 times the measure of angle E, we can represent the measure of angle E as x. Therefore, the measure of angle D would be 5x.
Since the two angles are supplementary, their measures sum up to 180 degrees. We can set up the equation as follows:
x + 5x = 180
Combining like terms, we have:
6x = 180
To solve for x, we divide both sides of the equation by 6:
x = 180 / 6
Simplifying, we find:
x = 30
Now that we have found the value of x, we can substitute it back into the equation to find the measure of each angle:
Angle E = x = 30 degrees
Angle D = 5x = 5 * 30 = 150 degrees
So, the measure of angle E is 30 degrees, and the measure of angle D is 150 degrees.