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I need help with B, C, and D​

I need help with B, C, and D​-example-1
User Rakex
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B)

as you recall yesterday, the "far arc near arc" formula, well, notice, the angle at XDY intercepts the circle at XY, with a "near arc" of 100°, and a "far arc" of 360° - 100° = 260°.

so using the far arc near arc formula


\bf \measuredangle D=\cfrac{260-100}{2}\implies \measuredangle D=\cfrac{160}{2}\implies \measuredangle D = 80

the twin angles at A and C will take the slack from all interior angles of 180° - 80° = 100°, so then ∡A = ∡C = 50°.

User Robert Langdon
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