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2 problems match “inscribed angles”. Clear

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1. Centre of square on hypotenuse ●●○○○ 20 ptsLet $ABC$ be a right triangle with the right angle at $B$. Let $ACDE$ be a square drawn outside triangle $ABC$ on side $AC$. If $M$ is the centre of this square, find $\angle MBC$ in degrees.
2. Angle at vertex of clock star polygon ●●○○○ 20 ptsA star polygon is drawn on a clock face by drawing a chord from each number to the fifth number clockwise from that number. That is, chords are drawn from 12 to 5, from 5 to 10, from 10 to 3, and so on, ending back at 12. Find the degree measure of the angle at each vertex of the star polygon.