Conrad drew 2 angles. three times the measure of angle 1 is 30° more than 5 times the measure of angle 2. the sum of twice the measure of angle 1 and twice the measure of angle 2 is 180°. find the measure of each angle.

60

Step-by-step explanation:

Let x= measure of angle 1

Let y= measure of angle 2

This is solving a system of equations

3x=30+ 5y which can also be written

3x-5y=30, and

2x+2y=180

There are a few ways to solve this, like solving for x in one of the equations and plugging it in for x in the other equation, but here is another way:

2(3x-5y)=2*30

3(2x+2y)= 3*180

6x-10y=60

6x+6y=540, and now subtract to get rid of x

0-16y=-480

Y=30

Plug it back in to either equation and you get x=60

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: