Question 445970

recall: Supplementary Angles add up to 180°. 


angle {{{alpha}}} and angle {{{beta}}} are supplementary angles:..=> ..{{{alpha+beta=180}}} 


if the measure of angle {{{beta}}} is 17 times the measure of angle {{{alpha}}}:..=> ..{{{beta=17*alpha}}}

now, substitute {{{beta}}} in {{{alpha+beta=180}}} and find {{{alpha}}}


{{{alpha+17*alpha=180}}}

{{{18*alpha=180}}}

{{{alpha=180/18}}}

{{{alpha=10}}}....now find {{{beta}}}

{{{beta=17*10}}}

{{{beta=170}}}

so, your angles are:{{{alpha=10}}} and {{{beta=170}}}