Question 798428

1.

by definition, the sum of the measures of all three angles in triangle {{{ABC}}} is {{{180}}}°

{{{A+B+C=180}}}°

if the sum of the measures of ∠{{{A}}} and ∠{{{B}}} is {{{47}}}°, then

{{{47+C=180}}}°.....solve for {{{C}}}

{{{ C=180-47}}}°

{{{ C=133}}}°

2. let {{{2}}} consecutive integers be {{{x}}} and {{{x+1}}}, 

if the result of adding the smaller integer ({{{x}}}) and triple the larger integer ({{{3(x+1)}}})is {{{79}}}, we have

{{{x+3(x+1)=79}}}....solve for {{{x}}}

{{{x+3x+3=79}}}

{{{4x =79-3}}}

{{{4x =76}}}

{{{x =76/4}}}

{{{x =19}}}...first integer

{{{x+1 =20}}}...second integer

so, answer is B. {{{19}}}, {{{20}}}