Answer:
For Question 13 :∡ 1 = 130°; ∡ 2 = 50° ∡ 3 = 130°
For Question 14 :∡ 1 = 65°; ∡ 2 = 115° ∡ 3 = 65°
Step-by-step explanation:
Question 13:
There is multiple ways to solve those questions. However I will stick with the simple way.
1) We know that a straighteangle is = to 180°
2) Acording to the statment on step one we will say that ∡ 1 + the ∡ 50° = 180°
Resoectivelly
180° - 50° = ∡1
180° - 50° = 130°
∡ 1 = 130°
3) ∡ 2 + ∡ 1 = 180°
We already ∡ 1 from step 2, then
∡ 2 = 180° - 130°(∡1)
∡ 2 = 50°
4) ∡ 2 + ∡ 3 = 180°
∡ 3 = 180° - 50° (∡ 2)
∡ 3 = 130°
Question 14 1) We know that a straighteangle is = to 180°
2) Acording to the statment on step one we will say that
angle 1 + the angle 115° = 180°
Resopectivelly
180° - 115° = ∡ 1
180° - 50° = 65°
∡1 = 65°
3) ∡ 2 + ∡ 1 = 180°
We already∡ 1 from step 2, then
∡ 2 = 180° - 65°(∡1)
∡ 2 = 115°
4) ∡ 2 + ∡ 3 = 180°
∡ 3 = 180° - 115° (∡ 2)
Have fun
