An artist is designing a stained-glass window for a modern art museum. In her design ∠F is 110°, ∠AEF is y°, ∠BEC is 25° and ∠CED is 20°. She has five sections created and needs to determine the measure of the angle in the upper left corner to cut the last piece of glass to finish the piece, as shown in the figure below

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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in 1995, potato plants were taken into space aboard the space shuttle columbia.

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