Question 503852

Supplementary Angles add up to {{{180}}}°.

let angles be {{{alpha}}} and {{{beta}}}


{{{alpha+beta=180}}}°.........1

given:

{{{alpha}}} measures {{{10}}} degrees more than {{{beta}}}; so,

{{{alpha=beta+10}}}....substitute in 1


{{{beta+10+beta=180}}}°....find {{{beta}}}


{{{2beta=180-10}}}°


{{{2beta=170}}}°


{{{beta=170/2}}}°

{{{beta=85}}}°

now find {{{alpha}}}


{{{alpha=beta+10}}}°


{{{alpha=85+10}}}°

{{{alpha=95}}}°