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If ABCDE is a regular pentagon, what is the measure of EBD? 30° 36°
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31 May 2022, 01:00
31 May 2022, 01:00
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If ABCDE is a regular pentagon, what is the measure of \(\angle EBD\)?
30°
36°
45°
72°
108°
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: If ABCDE is a regular pentagon, what is the measure of EBD? 30° 36°
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31 May 2022, 06:53
31 May 2022, 06:53
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A regular pentagon has a total angle measure of (n-2)180 = (5-2)180 = 540 degrees.
Since each of these angles are the same (that is the meaning of "regular" here), then we know that each of the angles is 540/5 = 108 degrees.
If the two lines from E to B and from D to B are straight lines, then they must trisect (cut into three even pieces) the 108-degree angle at B. That means that the angle in question, angle EBD, must be 108/3 = 36 degrees. Answer B.
Since each of these angles are the same (that is the meaning of "regular" here), then we know that each of the angles is 540/5 = 108 degrees.
If the two lines from E to B and from D to B are straight lines, then they must trisect (cut into three even pieces) the 108-degree angle at B. That means that the angle in question, angle EBD, must be 108/3 = 36 degrees. Answer B.
Re: If ABCDE is a regular pentagon, what is the measure of EBD? 30° 36°
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12 May 2024, 09:29
12 May 2024, 09:29
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