Question

hình 27 cho biết OI nằm giữa hai tia OA,OB,góc AOB=60độ,góc BOI=1/4 góc AOB .Tính góc BOI,góc AOI

Answer 1

Ta có: \(\widehat{BOI}=\dfrac{1}{4}\cdot\widehat{AOB}\)(gt)

\(\Leftrightarrow\widehat{BOI}=\dfrac{1}{4}\cdot60^0\)

hay \(\widehat{BOI}=15^0\)

Ta có: tia OI nằm giữa hai tia OA và OB(gt)

nên \(\widehat{AOI}+\widehat{BOI}=\widehat{AOB}\)

\(\Leftrightarrow\widehat{AOI}=\widehat{AOB}-\widehat{BOI}=60^0-15^0\)

hay \(\widehat{AOI}=45^0\)

Vậy: \(\widehat{BOI}=15^0\); \(\widehat{AOI}=45^0\)