The following pie chart shows the actual number of photographs shared by a person on each of 7 different social media platforms.

What is the difference between the central angles made by sector P5 and sector P1?

Total number of photographs shared by a person on each of 7 different social media platforms = 108+122+113+137+144+166+110

= 900

As we know that complete circle is equal to $$360^{\circ\ }$$.

So $$900 = 360^{\circ\ }$$

$$1 = 0.4^{\circ\ }$$

difference between the number of photographs shared by a person on P5 and P1 = 144-108 = 36

$$1\times36 = 0.4^{\circ\ }\times36$$

= $$14.4^{\circ\ }$$

So the difference between the central angles made by sector P5 and sector P1 is $$14.4^{\circ\ }$$.