Question

two angles are supplementary one angle measures 75% more than twice the measure of the other what are the measurement of the two angles

Answer 1

Let's call the angles x and y. We know that supplementary angles must add to 180 degrees, so x+y=180.

Furthermore, we know that x is 75% more than 2y. We can write "75% more than" numerically as 1.75, so x = 1.75(2y).

We can simplify the second equation by multiplying 1.75 and 2 together to get x = 3.5y.

Now we can solve the system of equations by substitution by plugging 3.5y in for x in x+y=180.

(3.5y) + y = 180

Combine like terms.

4.5y = 180

Divide by 4.5

y = 40

Plug y = 40 in and solve for x.

x + 40 = 180

x = 140

The answer is 40 and 140. Hope this helps :)