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9,043 Views • Nov 12, 2024 • Click to toggle off description
Views : 9,043
Genre: Education
License: Standard YouTube License
Uploaded At Nov 12, 2024 ^^
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Rating : 4.958 (4/379 LTDR)
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User score: 98.44- Masterpiece Video
RYD date created : 2024-11-22T20:16:05.06387Z
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46 Comments
Top Comments of this video!! :3
If the star is regular a circle that contains all the vertices has tw adjacent vertices 72 degrees apart. So the angle across is half, or 36. 5*36 = 180.
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Look how it shines for you...
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Even if the pentagon inside is irregular the sum will be 180. This can be proved by using properties sum of angles of a triangle and vertically opposite angles between the 5 triangles.
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Angle of regular pentagon= 108°
It's opposite angle is also same
Angle base to the pentagon are both [360°- 2(108°)]/2 = 72°
Tip angle = 180° - 2×72° = 36°
Total = 5× 36° = 180°
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What is m?
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难得做几何题啊😂
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You can imagine it to be 180, try to stack them together centralized in a semicircle, all 5 would fit.
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Hint: Each angle of a regular pentagon is 108°
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How can you say tha the interior pentagon is regular or not
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jojolion reference
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180°, i watched your video
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Now do the star of David
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What's m?
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360?
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Wut if it's not regular pentagon ?
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540 degree
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The required sum is 180°.
Let AD and BE intersect at X, and AC and BE intersect at Y.
Consider △BXD,
∠AXB = ∠B + ∠D (exterior ∠ theorem)
Consider △CYE,
∠AYE = ∠C + ∠E (exterior ∠ theorem)
Consider △AXY,
∠A + ∠AXB + ∠AYE = 180°
∠A + (∠B + ∠D) + (∠C + ∠E) = 180°
∎
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180 grados
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180°
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@xinpingdonohoe3978
1 week ago
I never was great at geometry, but I can still guess. The interior pentagon angle is 108°. This makes the repeated angle of the isosceles triangle 180°-108°=72°. The small angle is then 180°-2×72°=36°. 5 of them makes 5×36°=180°=π.
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