Answer:
x equals 28/5 and the measure of angle 4 is 34.8°
Step-by-step explanation:
[tex]3x + 18 + 12x + 12 = 180 \\ 15x + 40 = 180 \\ 15x = 140 \\ x = \frac{140}{15} = \frac{28}{5} [/tex]
The measure of angle 4 equals the measure of angle 6
[tex]3 \times \frac{28}{5} + 18 = \\ \frac{84}{5} + 18 = \\ \frac{84}{5} + \frac{18}{1} \times \frac{5}{5} = \\ \frac{84}{5} + \frac{90}{5} = \frac{174}{5} = 34.8 \: degrees[/tex]
