Geometry › Lines and angles › Angle chasing

Centre of square on hypotenuse

High school · ●●○○○ 20 pts

Let ABCABC be a right triangle with the right angle at BB. Let ACDEACDE be a square drawn outside triangle ABCABC on side ACAC. If MM is the centre of this square, find ∠MBC\angle MBC in degrees.

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cyclic quadrilateralsinscribed anglesright triangles