Answer:
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°
