Mathematics, 12.07.2019 17:00 tamiyahtapp
The sum of the measure of the angles of any triangle is 180 degrees. in triangle abc, angles a and b have the same measure, while the measure of angle c is 48 degrees larger than each of a and b. what are the measures of the three angles?
Answers: 2
![\bf \measuredangle B=\measuredangle A~\hspace{5em}\measuredangle C=\measuredangle A+48 \\\\[-0.35em] ~\dotfill\\\\ B+A+C=180\implies \stackrel{B}{A}+A+\stackrel{C}{A+48}=180\implies 3A+48=180 \\\\\\ 3A=132\implies A=\cfrac{132}{3}\implies \boxed{A=44} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hspace{5em}A=44\qquad B=44\qquad C=44+48\implies C=92](/tpl/images/0081/6803/5d77d.png)
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The sum of the measure of the angles of any triangle is 180 degrees. in triangle abc, angles a and b...
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