Question 788092
{{{x}}}= measure of the largest angle
{{{x/2}}}= measure of the smallest angle
{{{x-15^o}}}= measure of the third angle
Since the measures of the angles oif a triangle add up to {{{180^o}}},
{{{x+x/2+x-15^o=180^o}}}
{{{x+x/2+x=15^o+180^o}}}
{{{x(1+1/2+1)=195^o}}}
{{{(5/2)x=195^o}}}
{{{x=(2/5)195^o}}}
{{{x=2*195^o/5}}}
{{{x=2*195^o/5}}}
{{{x=390^o/5}}}
{{{x=78^o}}}= measure of the largest angle
{{{x/2=78^2/2=39^o}}}= measure of the smallest angle
{{{x-15^o=78^o-15^o=63^o}}}= measure of the third angle