Question 127973
one angle {{{highlight(x=20)}}}  degrees 

the second {{{y=4z}}}

the third {{{z}}} 


the sum of all angles in a triangle is {{{180}}} degrees, so we will have:

{{{x+y+z =180}}}.........substitute {{{x}}} and {{{y}}}

{{{20+4z+z =180}}}.........

{{{5z =180-20}}}.........

{{{5z =160}}}.........

{{{z =160/5}}}.........


{{{highlight(z = 32)}}}.........the third angle


{{{y=4z}}}

{{{y=4*32}}}

{{{highlight(y = 128)}}}....the second angle

check:

{{{20+128+32 =180}}}.........

{{{148+32 =180}}}.........

{{{180 = 180}}}.........