Question

I know this is something super easy, but I always forget the steps on how to figure this out, I tried to put 30 and number one spot, I tried putting 82 and number two spot, and I tried putting 50 and number one spot but when you add that up that's a lot more than 360. I just need help please

Answer 1

Anlge directly opposite to 2= 180 - 82= 98

Sum of angles in the triangle (98, 50, x ) = 180

98+50+x = 180

x + 148 = 180

x = 180 - 148= 32

m<1 = x because they are alternate

so m<1 = 32

m<2 + 82 = 180 ( sum of angles in a straight line)

m<2 = 180 - 82 = 98

m< 3 = 50 because they are alternate

Or

m<3 + m<2 + m<1 = 180 ( sum of angles in a triangle)

m< 3 + 98+ 32 = 180

m<3 =180 - 130 =50

Summary

m< 1= 32 degrees

m<2= 98 degrees

m<3 = 50 degrees