Question 1014075

by definition of the sum, we have:

{{{A+B+C=180}}}

if the measurement of angle {{{A}}}  is {{{5}}} degrees more than {{{3 }}}times the measure of angle {{{B}}}, we have

{{{A=3B+5}}}.....eq.1

if angle {{{C}}} measures {{{20}}} degrees less than angle {{{B}}}, we have

{{{C=B-20}}} ............eq.2

go to {{{A+B+C=180}}},substitute{{{ A}}} and {{{C}}} from eq.1 and eq.2

{{{3B+5+B+B-20=180}}} .................solve for {{{B}}}

{{{5B-15=180}}}

{{{5B=180+15}}}

{{{5B=195}}}

{{{B=195/5}}}

{{{highlight(B=39)}}}

find {{{A=3B+5}}}.....eq.1

{{{A=3*39+5}}}

{{{highlight(A=122)}}}

find {{{C=B-20}}} ............eq.2

{{{C=39-20}}}

{{{highlight(C=19)}}}