Answer:
1. ∠9 = 115°
2. ∠10 = 65°
3. ∠8 = 70°
4. ∠3 = 70°
5. ∠4 = 110°
6. ∠11 = 70°
7. ∠5 = 65°
8. ∠14 = 115°
Step-by-step explanation:
Given that, two parallel lines and two transversal lines.
also given that, ∠1 = 115° & ∠12 = 110°
We know that, straight angle = 180°
∠1 + ∠2 = 180°
∠2 = 180 - 115
∠2 = 65°
∠2 & ∠5 are vertical angles. So, they are same
∠2 = ∠5
∠5 = 65°
Similarly, ∠1 = ∠6 (vertical angles)
∠6 = 110°
Now given that, ∠12 = 110°
∠11 + ∠12 = 180°
∠11 = 180 -110
∠11 = 70°
∠11 & ∠16 are vertical angles.
∠11 = 16
∠16 = 70°
∠12 = ∠15 (vertical angle)
∠15 = 110°
∠4 & 12 are Corresponding Angles
∠12 = ∠4
∠4 = 110°
∠3 = 180 - ∠4 = 180 - 110
∠3 = 70°
∠7 = ∠4 (vertical angle)
∠7 = 110°
∠3 = ∠8 (vertical angle)
∠8 = 70°
∠1 = ∠9 (Corresponding Angles
)
∠9 = 115°
∠10 = ∠2 (Corresponding Angles
)
∠10 = 65°
∠13 = ∠10 (vertical angle)
∠13 = 65°
∠14 = ∠9 (vertical angle)
∠14 = 115°
9. ∠7 and ∠2 no relation between them.
10. ∠6 and ∠14 are corresponding angles.
11. ∠13 and ∠12 no relation.
12. ∠7 and ∠11 are Consecutive Interior Angles
13. ∠1 and ∠8 no relation.
