An angle is 70º smaller than its supplement. Find the supplement

Answer 1

The definition of supplementary angles is that the two angles add up to 180 degrees. Let's call these two angles angle x and angle y, so we can say that x + y = 180 degrees.

We also know that the difference between these two angles is 70 degrees, so we can say x = y-70

Now we have a system of equations. The next step would be to solve for one of the variables in the second equation, but we already have it in terms of x, so all we have to do is plug in 70-y for x in the first equation.

This gives us the equation (70-y) + y = 180. Now we solve for y:

(y-70) + y = 180 --> 2y - 70 = 180 --> 2y = 180 + 70 --> 2y = 250 --> y = 125

Now that we have solved for y, we can plug the value of y into the equation x = y - 70 to get x = 125 - 70. Now we solve for x to get x = 55 degrees.

Since x is the smaller angle, specifically the angle that is 70 degrees smaller than its supplement, y, we have found the solution. x = 55 degrees

Answer 2

Supplementary angles add up to 180

Lets call the angle x, and its supplement (x+70)

x + (x+70) = 180 Solve for x

2x +70 = 180

2x = 110

x = 55

Its supplement is 70 more than the angle (x)

x+ 70= 55+70= 125