A circle inscribed in a triangle inscribed in a semicircle. The line segment through two tangency points meets a radius at the semicircle circumference. What is the angle α?

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## Solution

The angle α is 45°.

## Visual proof

## Poem

Blazing hot

A volcanic eruption

A fantastic flow

A river of fire ans thunder

Scent from the heavens

Lava sculpts the landscape

The mountain is crying once more

Burning in its core

A big change for the landscape

Where everyone wants to escape

The mountain blows up and is awake