Triangle in a square
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The document is a geometry problem about a square ABCD with a point E located inside such that ABE forms an equilateral triangle. The question asks for the measure of angle CBE. The solution shows that since ABC is a right angle and ABE is 60 degrees, CBE must be 30 degrees using angle chasing and properties of regular polygons.
Triangle in a square
- 1. Get more free challenging math and physics problems at briliant.org KEY TECHNIQUES Angle Chasing, Regular Polygon Properties ANSWER 30 is a square. The point is located within , such that is an equilateral triangle. What is the measure (in degrees) of angle ? ABCD E ABCD ABE CBE We have and , hence .∠ABC = 90∘ ∠ABE = 60∘ ∠CBE = ∠ABC − ∠ABE = 30∘ Triangle in a square 25 points Brilliant Page 1 of 1Triangle in a square | Brilliant 6/9/2013https://brilliant.org/assessment/s/geometry-and-combinatorics/2308644/
- 2. Get more free challenging math and physics problems at briliant.org KEY TECHNIQUES Angle Chasing, Regular Polygon Properties ANSWER 30 is a square. The point is located within , such that is an equilateral triangle. What is the measure (in degrees) of angle ? ABCD E ABCD ABE CBE We have and , hence .∠ABC = 90∘ ∠ABE = 60∘ ∠CBE = ∠ABC − ∠ABE = 30∘ Triangle in a square 25 points Brilliant Page 1 of 1Triangle in a square | Brilliant 6/9/2013https://brilliant.org/assessment/s/geometry-and-combinatorics/2308644/