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angle 1 = 20; angle 2 = 160

Step-by-step explanation:

(x-12) + 5x = 180

6x-12 = 180 (add 12 to each side)

6x = 192 (divide each side by 6 to get x by itself)

x = 32

plug x into each equation

angle 1: 32-12=20; 20

angle 2: 32x5= 160; 160

Angle 1: 20

Angle 2: 160

Step-by-step explanation:

Angles 1 and 2 both add up to 180 degrees assuming that line is a straight line. Since we are given a system of equations for both angles, we can add them together, let them equal 180, and use the answder to plug them into respective equations to find the angle amount.

(x-12)+5x=180   (adding both of the angles together)

6x-12=180         (combine x)

6x=192

x=32                  (isolate x)

Since we now know what x stands for, we can plug this number in to angle 1's equation (x-12) to find that angle.

32-12=20         (m<1's angles)

We can do this for angle 2 as well.

5(32)=160         (m<2's angle)

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