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3 years ago

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

Mathematics

1 answer:

babunello [35]3 years ago

6 0

Answer: $235^{\circ}$

Step-by-step 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 $235^{\circ}$

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