The sum of two angles measures is 95 degrees. angle 2 is 40 degrees smaller than 2 times angle 1. what are the measures of the two angles in degrees?

<1 = 45

<2 = 50

Step-by-step explanation:

Let <1 = x

Let <2 = y

x + y = 95

y = 2*x - 40

I think the easiest way to do this is to substitute the second or bottom equation into the top equation. Substitute for y

x + 2x - 40 = 95                    Combine like terms on the left.

3x - 40 = 95                          Add 40 to both sides.

3x -40+40 = 95+40              Combine

3x = 135                                 Divide by 3

x = 45

Now use the top equation to solve for y

x + y = 95

45 + y = 95                             Subtract 45 from both sides.

45 - 45 + y = 95 -45               Combine

y = 50