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/