Question

If angle m -3x+18 and angle 12x+12,solve for x and find m angle 4

Answer 1

x equals 28/5 and the measure of angle 4 is 34.8°

Explanation:

`3x + 18 + 12x + 12 = 180 \\ 15x + 40 = 180 \\ 15x = 140 \\ x = (140)/(15) = (28)/(5)`

The measure of angle 4 equals the measure of angle 6

`3 * (28)/(5) + 18 = \\ (84)/(5) + 18 = \\ (84)/(5) + (18)/(1) * (5)/(5) = \\ (84)/(5) + (90)/(5) = (174)/(5) = 34.8 \: degrees`