Question

The measure of an angle is 8 degrees less than three times the measure another angle. If the two angles are supplementary, what is the measure or the larger angle?

Answer 1

Let's call the measure of the first angle "x". Then, the equation can be written as:

x = 3y - 8

Since the angles are supplementary, their measures add up to 180 degrees, so:

x + y = 180

We can substitute the first equation into the second equation to solve for y:

3y - 8 + y = 180

4y = 188

y = 47

Now that we know the measure of y, we can substitute it back into the first equation to find x:

x = 3(47) - 8 = 133

So the measure of the larger angle is 133 degrees.