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

User Forwheeler
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1 Answer

4 votes

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)

User Mike Hogan
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