HARNESS SKILLPERFORMANCE TASKSolve the following problems. Show your solutions. ...

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HARNESS SKILL
PERFORMANCE TASK
Solve the following problems. Show your solutions. Follow the rubric given below for
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AGboii

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$\large\underline \mathcal{{QUESTION:}}$

1. What is the measure of one exterior angle of a regular decagon?

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Using the Formula of Getting one of the exterior angle:

$\rm \: Exterior = \frac{360}{n} \\ \\ \rm \: Exterior = \frac{360}{10} \\ \\ \boxed{ \rm {Exterior = 36}}$

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Each exterior angle of a regular decagon measures 36°

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2. What is the measure of one of the exterior angle of a regular octagon?

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Using the Formula of Getting one of the exterior angle:

$\rm \: Exterior = \frac{360}{n} \\ \\ \rm \: Exterior = \frac{360}{8} \\ \\ \boxed{ \rm {Exterior = 45}}$

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Each exterior angle of a regular octagon measures 45°

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3. Find the sum of the interior angle meausure of a pentagon?

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Using the formula of getting the sum of a polygon

$\rm S_n=180(n-2) \\ \rm S_n=180(5-2) \\ \rm S_n=180(3) \: \: \: \: \: \: \: \\ \rm S_n=540 \: \: \: \: \: \: \: \: \: \: \: \: \:$

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The sum of the interior angles of a pentagon is 540°

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