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Math Help - Quick Geometry

  1. #1
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    Quick Geometry

    In the accomapnying diagram of ABC, BC is extended to D, m<A = 20*, m<ACD = 70*, and m<B = x*.



    * = degress
    _ = Arrow over

    Anyone mind explaining?

    Value of X.
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, bon22!

    In the accomapnying diagram of \Delta ABC,
    BC\text{ is extended to }D,\;\;\angle A = 20^o,\;\;\angle ACD = 70^o
    Find \angle B
    Code:
                             A
                            o
                         * *
                      *20*
                   *     *
                *       *
             *         * 70
        B o  *  *  *  o  *  *  o D
                      C
    \angle ACD is an exterior angle of \Delta ABC

    Hence, it equals the sum of the two non-adjacent angles, \angle A\text{ and }\angle B.

    Therefore: . \angle B \:=\:50^o

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