Question

(LOOK AT IMAGE)

A regular 8-sided polygon and a regular 10-sided polygon share a single side, as shown below. Calculate the size of the angle marked b. Give your answer in degrees (°). ​

Answer 1

Answer: 9

Explanation:

The interior angle of the 8-sided polygon is

`(180(8-2))/(8)=135^(\circ)`

The interior angle of the 10-sided polygon is

`(180(10-2))/(10)=144^(\circ)`

Taking the difference, we get
`b=9^(\circ)`