Question 1046356
The measure of ∠{{{A}}} is {{{35}}}° more than {{{three}}}{{{ times}}} the measure of ∠{{{B}}}. The sum of their measures is {{{135}}}°.

The measure of ∠{{{A=(3B+35)}}}° 

if {{{A+B=135}}}° we have

{{{(3B+35)+B=135}}}°

{{{4B+35=135}}}°

{{{4B=135-35}}}°

{{{4B=100}}}°

{{{B=100/4}}}°

{{{highlight(B=25)}}}°

now find {{{A}}}

{{{A=3B+35}}}° ->{{{A=3*25+35)}}}° ->{{{A=75+35}}}° ->{{{highlight(A=110)}}}°