Question

If the measure of each green central angle in the stained glass is 50 what is the measure of each pink central angle?

Answer 1

The measure of each pink central angle is 40

Answer 2

The measure of each pink central angle is
`40\°`

Explanation:

Let

a----> the measure of each pink central angle

b ----> the measure of each green central angle

we know that

`4a+4b=360\°`

we have

`b=50\°`

substitute and solve for a

`4a+4(50\°)=360\°` ----> complete circle

`4a+200\°=360\°`

`4a=360\°-200\°`

`4a=160\°`

`a=40\°`