geometry
posted by John on .
Lines M and T are parallel with a Transversal line P. [Labeling for the angles on line P intersecting M are, top right corner is angle 1, the top left is angle 2, the bottom left is angle 3, and the bottom left is angle 4. This pattern {top left, top right, bottom left, bottom right} is the same for line P intersecting through line T, however the angle numbers are angles 5 to 8.] (exterior angles are 1, 2, 7, and 8. interior angles are 3, 4, 5, and 6)
I know that M<1=5x16 and M<8=2x+32. I must find all 8 angles in DEGREE form. However i do not know how to do that.

You know ∠5 + ∠8 = 180
∠5 = 180  (2x+32) = 1482x
you also know that ∠1 = ∠5
5x  16 = 148  2x
7x = 164
x = 164/7°  I would would have expected the answer to come out "nicer".
So angle 1 = 5x16 = 5(164/7)  16 = 708/7
check my arithmetic, then carefully calculate the other angles.