Question 225137
Recall that the sum of the measures of the angles of a triangle is 180 degrees.  In the triangle below, angle c has the same measure as angle b, and a measures 42 degrees less than angle b.  Find the measure of each angle.


Step 1.  Given c=b 


Step 2.  a=b-42 since angle a measures 42 less than angle b.


Step 3.  Then, b-42+b+b=180 since c=b and the three angles add to 180 degrees.


{{{3b=222}}


{{{3b/3=222/3}}}


{{{b=74}}} and {{{c=74}}}  and {{{a=74-42=32}}}


Step 4.  Check if the angles equal to 180...74+74+32=180 which it does.



Step 6.  ANSWER:  Angle a is 32 degrees and angles b and c is each 74 degrees.


I hope the above steps and explanation were helpful.


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And good luck in your studies!


Respectfully,
Dr J

http://www.FreedomUniversity.TV