Answer: ∠1 = 52°, ∠4 = 40°, ∠7 = 100°, ∠10 = 49°, ∠13 = 65°
Step-by-step explanation:
There are three formulas you need to find the angles. Each formula is based on where the vertex lies.
On the circle: Measure of the angle = (1/2) the arc (Images 1-3)
∠4 = (1/2)°80 ∠10 = (1/2)(18° + 80°) ∠13 = (1/2)130°
= 40° = (1/2)98° = 65°
= 49°
Inside the circle: (1/2) Sum of the Big arc and Little Arc (Image 4)
∠7 = (1/2) (130° + 70°)
= (1/2)200°
= 100°
Outside the circle: (1/2) Difference of Big arc and Little Arc (Image 5)
∠1 = (1/2)[(62° + 130°) - (70° + 18°)]
= (1/2) (192° - 88°)
= (1/2)104°
= 52°
I can only add 5 attachments. If you want to see image 6 (which contains the measures for all of the angles), you will need to ask the question again. Sorry!
