Mathematics
Junior High

解説お願いしますm(_ _)m円周角の問題です!

Answers

(3)∠BIG=90°
∠BIGは同じ角度の円周角∠BIC,∠CID,∠DIE,∠EIF,∠FIGの集まりなので、
∠CIG=90×4/5=72°
同様にDIG=90×3/5=54°
∠DIG=∠BGI=54°
x=54°

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(6)∠ATB=28+90=118°
AS∥TBより∠TAS=62°
∠TOS=124°
∠OSB=∠OTB=90°
よってx=56°

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