Answer:
- ∠1 = 59°
- ∠2 = 61°
- ∠3 = 119°
Explanation:
We know that:
- ∠2 = 61° (Alternate inner angles)
- ∠1 + ∠2 + 60 = 180°
- ∠4 = ∠1
Work:
- ∠1 + ∠2 + 60 = 180°
- => ∠1 + 61 + 60 = 180°
- => ∠1 + 61 + 60 = 180°
- => ∠1 + 121 = 180°
- => ∠1 = 59
- => ∠2 + ∠3 = 180
- => 61 + ∠3 = 180
- => ∠3 = 119
Hence, the measure of ∠1, 2, and 3 are:
- ∠1 = 59°
- ∠2 = 61°
- ∠3 = 119°
Hoped this helped.
