<1 and <2 form a linear pair. If m<1 = (5x + 9) ° and m<2 = (3x + 11) ° , find the measure of each angle.

Answer 1

So for this problem you need to know that a linear pair adds up to 180^•. To set up this problem you will add the two given angles and set them equal to 180:

5x + 9 + 3x + 11 = 180

Next combine your like terms:

8x + 20 = 180

Subtract 20 from both sides of your equation

8x = 160

Divide by 8 on each side of the equation:

x = 20

Lastly you need to find the measure of each angle, by substituting 20 in for x

m<1 = 5(20) + 9 = 109

m<2 = 3(20) + 11 = 71

To check your answer, the sum of your two angles should add up to 180: 109 + 71 = 180

Hope this helped!