It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°
<h3>How to find the sum of angles of a polygon?</h3>
The adjoining star contains a regular pentagon. Thus;
Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°
Thus;
Each interior angle of the pentagon = 540/5 = 108°
Thus, each exterior angle = 180 - 108 = 72°
Then measure of the angle at the vertex = 180 - 72 - 72 = 36°
Thus, each angle at the vertices of the star have an angle of 36°.
There are 5 star vertices and so;
Sum of angles of 5 star vertices = 5 * 36 = 180°
Read more about Angles in a Polygon at; brainly.com/question/1592456
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Answer:
2.25, or 2 1/4.
Step-by-step explanation:
3/4 x 3 = 2.25
<span>We have to calculate the circumference of a circle and to choose the correct answer. The circumference of a circle is given by a formula: C = 2 r Pie. In this case radius of the circle is : r = 2.2. Therefore C = 2 * 2.2 Pie = 4.4 Pie. Answer: The circumference of the circle is: D ) 4.4 Pie.</span>
∠BCD = 57°
∴ ∠BDR = ∠BCD = 57° (angle that meets the chord and the tangent is equi-angular to the angle at the alternate segment)
7 different ways is the answer