Answer:
x = 31.5
Step-by-step explanation:
(3x + 47)° + (x + 7)° = 180° (same side interior angles theorem)
[tex] 3x + 47 + x + 7 = 180 [/tex]
Collect like terms
[tex] 4x + 54 = 180 [/tex]
Subtract 54 from both sides
[tex] 4x = 180 - 54 [/tex]
[tex] 4x = 126 [/tex]
Divide both sides by 4
[tex] x = \frac{126}{4} [/tex]
[tex] x = 31.5 [/tex]
