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A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?

User Pasta
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2 Answers

2 votes

Answer:

it is 54

Explanation:

User Inbar Gazit
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4 votes
It is to be remembered that a a pentagon has five sides. First, we determine each of the central angles by dividing the given sum (360°) by 5. This gives us the answer of 72°. If we let x be the congruent angles in the base and noting that the sum of the internal angles of the triangle is 180°, we have the equation,
72 + x + x = 180°
The value of x from the equation is 54°.
User Vesan
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6.6k points
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