What is the angle measure of each angle of a regular pentagon? (A) 90^(@) (B) 108^(@) (C) 120^(@) (D) 135^(@)

Identify Formula: To find the angle measure of each angle in a regular pentagon, we need to use the formula for the sum of interior angles of a polygon, which is (n - 2) * 180°, where n is the number of sides in the polygon. For a pentagon, n = 5.Calculate Sum: Now we calculate the sum of the interior angles for a pentagon using the formula: (5 - 2) * 180° = 3 * 180° = 540°.Find Each Angle Measure: Since the pentagon is regular, all its angles are equal. Therefore, to find the measure of each angle, we divide the sum of the interior angles by the number of angles, which is 5.Divide Sum by Sides: Divide the sum of interior angles by the number of sides: 540° / 5 = 108°.

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What is the angle measure of each angle of a regular pentagon?
(A) 90^(@)
(B) 108^(@)
(C) 120^(@)
(D) 135^(@)

What is the angle measure of each angle of a regular pentagon? $\newline$ (A) $90^{\circ}$ $\newline$ (B) $108^{\circ}$ $\newline$ (C) $120^{\circ}$ $\newline$ (D) $135^{\circ}$

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Algebra 2

Csc, sec, and cot of special angles

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Q. What is the angle measure of each angle of a regular pentagon?

\newline

(A)

90^{\circ}

\newline

(B)

108^{\circ}

\newline

(C)

120^{\circ}

\newline

(D)

135^{\circ}

Identify Formula: To find the angle measure of each angle in a regular pentagon, we need to use the formula for the sum of interior angles of a polygon, which is $(n - 2) \times 180°$ , where $n$ is the number of sides in the polygon. For a pentagon, $n = 5$ .
Calculate Sum: Now we calculate the sum of the interior angles for a pentagon using the formula: \(5 - $2$ ) \times $180$ ° = $3$ \times $180$ ° = $540$ °.
Find Each Angle Measure: Since the pentagon is regular, all its angles are equal. Therefore, to find the measure of each angle, we divide the sum of the interior angles by the number of angles, which is $5$ .
Divide Sum by Sides: Divide the sum of interior angles by the number of sides: $540° / 5 = 108°$ .