Answer:
The answer is 5th angle =
Step-by-step explanation:
Given that pizza is divided into six unequal slices.
Largest slice has an angle of .
He eats the pizza from largest to smallest.
Let the difference in angles in each slice =
1st angle =
2nd angle = 90-d
3rd angle = 90-d-d = 90 - 2d
4th angle = 90-2d-d = 90 - 3d
5th angle = 90-3d-d = 90 - 4d
6th angle = 90-4d -d = 90 - 5d
We know that the sum of all the angles will be equal to (The sum of all the angles subtended at the center).
i.e.
So, the angles will be:
1st angle =
2nd angle = 90- 12 = 78
3rd angle = 78-12 = 66
4th angle = 66-12 = 54
5th angle = 54-12 = 42
6th angle = 42 -12 = 30
So, the answer is 5th angle =