A regular polygon with a minimum number of sides is constructed such that each internal angle is an obtuse angle
Answers
Answer:
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Step-by-step explanation:
Correct option is
C
triangle
A polygon cannot be formed with just two lines or line segments.
Hence, a minimum number of 3 lines or line segments are required to form a polygon.
Such type of a polygon is called a triangle.
So, option C is correct.
Correct Question:
Identify the regular polygon with a minimum number of sides in a way that each internal angle is obtuse.
Answer:
The regular polygon with a minimum number of sides such that each internal angle is obtuse is found to be a regular pentagon.
Step-by-step explanation:
Regular Polygon:
If all the edges and interior angles of the polygons are equal, they're known as regular polygons. The samples of regular polygons are square, rhombus, equiangular triangle , etc.
In regular polygons, not only the edges are congruent but angles are too. meaning , they're equiangular.
Obtuse Angle:
The definition of obtuse angle in geometry states that "angles with measurements greater than 90 ° and less than 180 ° are called obtuse angles." In other words, an obtuse angle is the angle between a right angle and a straight line.
Regular polygon with obtuse internal angle:
We know that the four sided regular polygon is a rhombus or a square which has a pair of acute angle or all right angles.
Thus, if we want a regular polygon with all internal angles as obtuse angles, we need to increase the number of sides.
If we consider a 5 sided regular polygon, i.e., a pentagon, if all five angles are equal they can be of 120° each, which is an obtuse angle.
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