Use algebrato find a way to solvethe problembelowusingthis information.
Example 4
The two anglesshownbeloware congruent.Whatis the measureof eachangle?This problemcombinesissuesof both algebraand geometry, so makesure you set up the problemcorrectly.
It is giventhat the two anglesare congruent,so they musthavethe samemeasurements.Therefore,you
can set up an equationin whichthe expressionsrepresentingthe anglemeasuresare equalto eachother.
Now that you havean equationwith one variable,you can solvefor the valueof.So, the valueof is 8. You are not done,however. Use this valueof to find the measureof one of the
anglesin the problem.