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15. 如图,直线$AB$,$CD相交于点O$,$OM⊥AB$.
(1)若$∠1 = ∠2$,则$∠2$的余角有
(2)若$∠1 = \frac{1}{4}∠BOC$,求$∠AOD$和$∠BOD$的度数.
(1)若$∠1 = ∠2$,则$∠2$的余角有
$\angle AOC$，$\angle BOD$
；(2)若$∠1 = \frac{1}{4}∠BOC$,求$∠AOD$和$∠BOD$的度数.
$\angle AOD = 120^{\circ}$，$\angle BOD = 60^{\circ}$
答案
(1) $\angle AOC$，$\angle BOD$
(2) $\angle AOD = 120^{\circ}$，$\angle BOD = 60^{\circ}$.
(2) $\angle AOD = 120^{\circ}$，$\angle BOD = 60^{\circ}$.
16. 如图,直线$AB$,$CD相交于点O$,$OE平分∠BOD$.
(1)若$∠AOC = 70^{\circ}$,$∠DOF = 90^{\circ}$,求$∠EOF$的度数；
(2)若$OF平分∠COE$,$∠BOF = 15^{\circ}$,求$∠AOC$的度数.
(1)若$∠AOC = 70^{\circ}$,$∠DOF = 90^{\circ}$,求$∠EOF$的度数；
55°
(2)若$OF平分∠COE$,$∠BOF = 15^{\circ}$,求$∠AOC$的度数.
100°
答案
(1) $\angle EOF = 55^{\circ}$.
(2) $\angle AOC = 100^{\circ}$.
(2) $\angle AOC = 100^{\circ}$.
