Regular Polygons - Problem Solving Practice Problems Online

$\triangle ABC$ is a regular triangle with side length $6.$ If a triangle $\triangle BDE$ is cut from $\triangle ABC$ , where the length of $\overline{DB}$ and $\overline{EB}$ are both equal to $1$ , what is the perimeter of remaining figure $ADEC?$

Which of the following facts about regular polygons is false?

The lengths of all the edges are the same. It is possible for an interior angle to be bigger than

180^{\circ}

in a regular polygon. The sum of all the interior angles in a regular polygon of degree

11

is

1620^{\circ}.

All of the interior angles have the same measure.

$ABCD$ is a square. The point $E$ is located within $ABCD$ , such that $ABE$ is an equilateral triangle. What is the measure (in degrees) of $\color{#D61F06} {\angle \text{CBE} }$ ?

Consider a polygon with $n$ vertices such that all internal angles are obtuse. If the sum of $n-1$ angles in this polygon is $973^{\circ},$ what is the last angle in degrees?

A regular polygon has interior angles of $150^\circ$ . $A, B, C, D$ are 4 consecutive points of this polygon. What is the measure (in degrees) of $\angle ADC?$

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Regular Polygons - Problem Solving