Answer :
If ABCDE is a regular pentagon, then the measure of missing angles is 72°.
Define the concept of a Pentagon defined as:
The Pentagon is a five-sided geometric shape. It is characterized by having five equal sides and five equal interior angles. In the context of military and government, "the Pentagon" often refers to the headquarters of the United States Department of Defense.
The given pentagon ABCDE is regular,
Since the side of a pentagon, n =5
Therefore,
Each interior angle = [tex]\dfrac{2\times 5-4}{5} \times 90^{\circ}[/tex]
Each interior angle = 108°
Since ΔCDE is an isosceles triangle
Then,
2∠CDB = 180° - 108°
2∠CDB =72°
∠CDE = 36°
Therefore,
∠BDE = 108° - 36°
Hence, the measurement,
∠BDE = 72°
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The complete question is:
ABCDE is a regular pentagon. Calculate the missing angles ∠BDE.
