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1 - 58°

2 - 122°

3 - 58°

Step-by-step explanation:

Important notes:

• Vertical Angles Theorem - The angles that are opposite to each other on an intersection of 2 lines are always congruent.

• Linear Pair - The two angles that are formed when a straight line is split. Linear pairs are supplementary angles.

• Supplementary Angles - An angle pair whose total measure = 180°.

Angle 1 is supplementary to the angle with measure 122°.

So, ∡1 = 180 - 122.

∡1 = 58°

Based on the Vertical Angles Theorem, ∡1 ≅ ∡3, so ∡3 is also 58°.

Based on the Vertical Angles Theorem, ∡2 ≅ 122°, so ∡2 = 122°.

∡1 = 58°

∡2 = 122°

∡3 = 58°

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.