Regular Polygons

Regular Polygons - Problem Solving


ABC\triangle ABC is a regular triangle with side length 6.6. If a triangle BDE\triangle BDE is cut from ABC\triangle ABC, where the length of DB\overline{DB} and EB\overline{EB} are both equal to 11, what is the perimeter of remaining figure ADEC?ADEC?

Which of the following facts about regular polygons is false?

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

Consider a polygon with nn vertices such that all internal angles are obtuse. If the sum of n1n-1 angles in this polygon is 973,973^{\circ}, what is the last angle in degrees?

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


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