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Use the Exterior Angle Theorem.
110 ^(∘)
We can see that ∠ 2 is exterior to △ ABC. We can find m∠ 2 using the Exterior Angle Theorem and the result from the previous exercise, m∠1= 75^(∘). m∠ 2 = 75^(∘)+35^(∘) ⇒ m∠ 2 = 110^(∘)