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    Quote Originally Posted by dgenerationx2 View Post
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    Hello dgen,

    (20) $\displaystyle m\angle AOB=70$

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

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

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

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




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

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

    $\displaystyle 3x+7=67$

    $\displaystyle 3x=60$

    $\displaystyle x=20$




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

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