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theleangreenbean

Key Concepts

  • Angle relationships

Solving the Question

We're only given one angle: the angle that measures 35°.

This angle and ∠1 are supplementary angles, meaning they add up to 180°. To find ∠1, subtract 35 from 180:

180 - 35 = 145°

The angle and ∠2 are corresponding angles, meaning they are on the same sides of the diagonal line and the transversal.

Corresponding angles are always equal.

Therefore, ∠2 = 35°.

Answer

∠1 = 145°

∠2 = 35°

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