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If all of the angles in the pentagon below are congruent (equal), then what is the m A) 77°

B) 97°
C) 108°
D) 120°

If all of the angles in the pentagon below are congruent (equal), then what is the-example-1
User Algoquant
by
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2 Answers

2 votes

Explanation:

Formula of calculating total angles with n side (Polygon) : (n-2) . 180°

total pentagon angles :

= (5 - 2) . 180

= 3 . 180

= 540°

all of the angle is congruent, then :

m<F = 540/5

m<F = 108° (C)

Subject : Mathematics

Level : JHS

Chapter : Geometry

User Adri
by
9.1k points
4 votes

Answer:

C

Explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a pentagon has 5 sides , that is n = 5

sum = 180° × (5 - 2) = 180° × 3 = 540°

since the 5 angles are congruent then divide the sum by 5 , that is

∠ F = 540° ÷ 5 = 108°

User Vlada
by
8.1k points