Answer:
120
Step-by-step explanation:
Here, we want to get the possible value of A
Now, we should understand that the value of an angle in triangle cannot be more than 180
Also, cosine can only be negative in the second and the 3rd quadrant
So,
arc cos (-0.5) = 120 , 300 , 60
But 60 is not correct as it will give a negative value
300 is not correct also as it is more than the angles present in a triangle
Thus, our answer is 120
Answer:
Angle 9: 60°
Angle 10: 30°
Side = radius = 40sqrt(x/3)
Area = [800sqrt(3)]x
Step-by-step explanation:
Total angle in a hexagon:
(6 - 2) × 180
720
Each interior angle:
720/6 = 120
angle 9 = 120/2 = 60
Angle 10 = 60/2 = 30
sin(60) = 20sqrt(x)/r
r = 20sqrt(x) ÷ sqrt(3)/2
r = 40sqrt(x/3)
Side:
sin(30) = ½s/(40sqrt(x/3))
½s = 20sqrt(x/3)
s = 40sqrt(x/3)
Area = (3sqrt(3))/2 × s²
Area = 3sqrt(3)/2 × 1600x/3
Area = [800sqrt(3)]x
