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Math Help - measurement to all angles

  1. #1
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    measurement to all angles

    measurement to all angles-sub10-14.jpg

    In the figure at right, if DC || FG || AB, EA≅EB, and m∠1=28, find the measures of all numbered angles

    help please?
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  2. #2
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    Quote Originally Posted by tysonrss View Post
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    In the figure at right, if DC || FG || AB, EA≅EB, and m∠1=28, find the measures of all numbered angles

    help please?
    Hi tysonrss,

    What have you tried so far? This is pretty straight forward if you are familiar with a few geometric postulates and/or theorems.

    [1a] When two parallel lines are cut by a transversal, alternate interior angles are congruent.

    [1b]When two parallel lines are cut by a transversal, corresponding angles are congruent.

    [2] Base angles of an isosceles triangle are congruent.

    [3] Vertical angles are congruent

    [4] Two angles that form a linear pair are supplementary

    To get you started, angles 1 and 8 are congruent by [1a].

    Angles 7 and 8 are congruent by [2]

    Angles 7 and 2 are congruent by [1a]

    Can you determine the rest?
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