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Answer:
The answer to your question is ∠3 = 63°
Step-by-step explanation:
Data
∠2 = 117°
∠3 = x
Process
1.- Angles 2 and 3 are supplementary which means that their addition gives 180°.
So,
∠2 + ∠3 = 180
Substitution
117° + ∠3 = 180°
Solve for ∠3
∠3 = 180° - 117°
Simplification and result
∠3 = 63°