Question

in an isosceles triangle the angle of top vertex is twice the sum of base angles find all exterior angles of tri angle

Answer 1

it's an isosceles triangle so the two angle on the base must be equal.

let one of them be x

then,
the other equal side would also measure x

measure of the angle of the top vertex = 2 (x+x)
= 4x

By using angle sum property of triangle,
x + x + 4x = 180
6x = 180
x = 30°

So, the measure if all sides are
30° , 30° and 120°

measure of exterior angle = sum of other 2 opposite sides.



measure of all exterior angles of that triangle =

120°+30° , 30°+30°, 120°+ 30°

= 150°,60°,150°