Answer:
126°
Step-by-step explanation:
the total max percent can be 100%
OR
The total value of the pie is 100%
that means all sectors must add upto 100
=> x + x + 21 + 9 = 100
=> 2x + 30 = 100
=> 2x = 70
=> x = 35
therefore, the two large sectors which are both equal to x each represents 35% of the whole.
Angle subtended by one of those large sectors :-
[tex] \theta = \frac{component \: part}{total} \times 360[/tex]
[tex] = \frac{35}{100} \times 360 \\ = 126[/tex]
therfore, the central angle of the big sector is 126°
