Question 1157792
Let the lesser angle have a measure of x. Because supplementary angles sum up to {{{180^o}}}, we have the equation {{{x+(x+14)=180}}}. This can be solved as follows. {{{cartoon(x+(x+14)=180,highlight(x+(x+14))=180,2x+14=180,highlight(2x+14)=highlight(180),2x+14-14=180-14,2x+highlight(14-14)=highlight(180-14),2x=166,highlight(2x)=highlight(166),2x/2=166/2,highlight(2x/2)=highlight(166/2),x=83,highlight(x=83))}}}. So the angles are {{{highlight(83^o)}}} and {{{83^o+14^o=highlight(97^o)}}}.