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Math Help - circle questions 3

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    Quote Originally Posted by dgenerationx2 View Post
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    Hello dgen,

    (20) m\angle AOB=70

    The angle adjacent to \angle AOB is \angle COB.

    m\angle COB=110^{\circ} because these two angles make up a linear pair and are supplementary.

    \angle COB is a central angle and has the same measure as its intercepted arc.

    Therefore, m\widehat{CB}=110^{\circ}




    (24) The measure of an inscribed angle in a circle is one-half the measure of its intercepted arc.

    3x+7=\frac{1}{2}(134)

    3x+7=67

    3x=60

    x=20




    (26) m\widehat{XY}=40^{\circ}

    m\widehat{WX}=180-40=140^{\circ}
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