The answer would be 108 degrees because the pentagon totals 540, which you divide by 5 (the number of sides) to get the answer.
540/5=108
The measure of a base angle of one of the triangles is 54°
"the angle formed by two lines or rays that intersect at a point."
"Congruent means identical in shape and size"
For given question,
The total number of degrees in the center is 360°.
all five vertex angles meeting at the center are congruent.
Let 'x' represent the one of the vertex angle.
Since there are five vertex angles meeting at the center,
⇒5x = 360°
⇒ x = 360/5
⇒ x = 72°
Let 'm' represent the measure of base angle of one of the triangle.
We know, the sum of all angles of the triangle is 180°
⇒ 72 + m + m = 180
⇒ 72 + 2m = 180
⇒ 2m = 108
⇒ m = 54°
Therefore, the measure of a base angle of one of the triangles is 54°
Learn more about the base angle of triangle here;
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