Question 987833

are these angles supplementary or complementary?


if angles supplementary they add up to {{{180}}}°:  

m<{{{ABE+EBF=180}}}=> {{{2n+7+ 4n -13=180}}} 

 {{{6n-6=180}}}...both sides divide by {{{6}}}

 {{{6n/6-6/6=180/6}}}

 {{{n-1=30}}}

 {{{n=30+1}}}

 {{{n=31}}}

then  m<{{{ABE= 2*31+7=62+7=69}}}

{{{ABE= 69}}}° 


but, if angles complementary they add up to {{{90}}}°:  

m<{{{ABE+EBF=90}}}=> {{{2n+7+ 4n -13=90}}} 

 {{{6n-6=90}}}...both sides divide by {{{6}}}

 {{{6n/6-6/6=90/6}}}

 {{{n-1=15}}}

 {{{n=15+1}}}

 {{{n=16}}}

then  m<{{{ABE= 2*16+7=32+7=39}}}

{{{ABE= 39}}}°