Question 1085286


An isosceles triangle is such that each of the base angle is twice the vertical  angle

let angles be {{{A}}},{{{B}}},and {{{C}}} where {{{A}}}and {{{B}}} are the base angles, and {{{C}}} is the vertical  angle

the base angles are congruent (because we have an isosceles triangle); so,

{{{A=B}}}
each of the base angle is twice the vertical  angle; so,

{{{A=2C}}}
{{{B=2C}}}

as you already know, the sum of all angles in triangle is {{{180}}} degrees

{{{A+B+C=180}}}

{{{2C+2C+C=180}}}

{{{5C=180}}}

{{{C=180/5}}}

{{{C=36}}}->the vertical  angle

and, the base angles will be
{{{A=2C=72}}}
{{{B=2C=72}}}