Two squares and a circle. What’s the angle α?
Scroll down for a solution to this problem.
Solution
The angle α is 15°.
ΔABC≌ΔDEF,
∴ ∠ABC=∠DEF=α, BC=EF
ΔEFG≌ΔHCG, EF=CH
∴ BC=CH ΔBCH is equilateral, ∠CBH=60deg
∠ABC=∠CBH-∠HBI
α=60deg-45deg=15deg
Categories
Bottoming out
