9514 1404 393
Answer:
Step-by-step explanation:
The useful relation for this problem is ...
an exterior angle is equal to the sum of the remote interior angles
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This means ...
120° = (15x+5)° +(22x+4)°
120 = 37x +9 . . . . . collect terms, divide by °
111 = 37x . . . . . . . . . subtract 9
3 = x . . . . . . . . . . . . divide by 37
Then the angle measures are ...
∠B = (22x +4)° = (22·3 +4)° = 70°
∠C = (15x +5)° = (15·3 +5)° = 50°
