Question

He sum of seven interior angle measurements in an octagon equal 845º. What is the angle measurement of the 8th angle?

Answer 1

Answer:
`235^(\circ)`

Explanation:

Given

The Sum of the seven interior angles of an octagon is
`845^(\circ)`

for a Polygon, the sum of the interior angles is given by
`(n-2)180^(\circ)`

for octagon, n=8

The Sum of interior angles is
`(8-2)360^(\circ)=1080^(\circ)`

Suppose the eighth angle be
`x`

`\therefore x+845=1080\\\Rightarrow x=235^(\circ)`

The
`8^(th)` angle is
`235^(\circ)`