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?

All of the interior angles have the same measure. The sum of all the interior angles in a regular polygon of degree

11

is

1620^{\circ}.

It is possible for an interior angle to be bigger than

180^{\circ}

in a regular polygon. The lengths of all the edges are the same.

$ABCD$ 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