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The polygon shown is a regular pentagon.
K
108⁰
L
N
M
What is the sum of the measures of all the interior angles of this
pentagon?
OA) 504°
OC) 960°
O B) 540°
OD) 1080°


Sagot :

The sum of the measures of all the interior angles of the pentagon is 540°. Option B

How to determine the sum

Note that

Sum of Interior Angles in a Pentagon = 540°

A pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°

If one of the interior angles = 108°, then the other two angles = 2 * 108° = 216°

The sum of the interior angles = 108° + 216° = 540°

Therefore, the sum of the measures of all the interior angles of the pentagon is 540°

Learn more about a pentagon here:

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