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Advanced

The Eightfold Path

A semicircle, a square and an isosceles triangle. What’s the angle α?

Categories
Intermediate

The crown

Three triangles have the same base. What is the top angle γ of the middle one in terms of the other ones α and β?

Categories
Intermediate

Angles galore

Two triangles share a side. What’s the angle β?

Categories
Intermediate

The bubble chamber

A regular hexagon and two semicircles connecting vertices. What’s the angle α between the chords?

Categories
Intermediate

The blue wink

A semicircle inscribed in a triangle inscribed in a semicircle. What fraction of the total area is blue?

Categories
Advanced

Kindergarten

A circle with three tangents and two squares. The accentuated vertex is a tangency point. What’s the angle α?

Categories
Beginner

The dark lord

Two congruent equilateral triangles and two squares. What’s the angle α?

Categories
Intermediate

The pointy shoe

A quarter circle, a semicircle and a triangle. What’s the angle α?

Categories
Intermediate

Together we stand

Two squares sharing a vertex. What’s the angle α?

Categories
Intermediate

Triple dice

An equilateral triangle with three congruent squares. What’s the angle α?