roxanagriffith2 roxanagriffith2

23-08-2017
Mathematics

contestada

If a triangle ABC, angle A is three times as large as angle C. The measure of angle B is 30 less than that of angle C. Find the measure of the angles

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twvogels twvogels

23-08-2017

[tex]180=a+b+c[/tex]
[tex]180=3c+(c-30)+c[/tex]
[tex]180=5c-30[/tex]
[tex]210=5c[/tex]
[tex]c=42[/tex]
[tex]a=3c[/tex]
[tex]a=3(42)[/tex]
[tex]a=126[/tex]
[tex]b=c-30[/tex]
[tex]b=42-30[/tex]
[tex]b=12[/tex]

Check:
126+12+42=180
180=180 ---> Checks TRUE

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