Question

Find the measure of exterior angle A. Show equations and all work that leads to your answer.

Answer 1

`57\°`

Explanation:

we know that

The sum of the measures of the exterior angles of a polygon is always
`360\°`

so

in this problem

`(14x+6)\°+(6x-3)\°+(4x+8)\°+(49\°)+(3x+30)\°=360\°`

solve for x

`(27x+90)\°=360\°`

`27x=360\°-90\°`

`27x=270\°`

`x=10\°`

Find the measure of exterior angle A

`(6x-3)\°=(6*10-3)\°=57\°`