Question

An exterior angle of triangle is of measure 110° and the interior opposite angles are in ratio 3 : 8. Find the measures of all the angles of the triangle

Answer 1

The angles are 70 degrees , 30 degrees and then 80 degrees

Answer 2

Given,

• Exterior angle of a triangle measure 110 degrees.
• Interior angles are in the ratio 2x and 3x.

$\boxed{\bold{Sum\:of\:Interior\:angles\:of\:a\:Triangle\:=\:180\°}}$

$\implies\bold{2x+3x=180}$

$\implies\bold{5x=180}$

$\implies\bold{x=36--(Angle\:1)}$

$\implies\bold{2x=72--(Angle\:2)}$

$\implies\bold{3x=108--(Angle\:3)}$

$\boxed{\bold{\therefore{The\:angles\:are\:36,72,and\:108}}}$