Question

one of the exterior angle of triangle ABC measures 130degre if one of the exterior opposite angle is 65degree find the other opposite angle what type of triangle is this triangle and also find remaining angle

Answer 1

ext.angle of triangleABC=130°
one opp.angle of ext.angle of triangleABC=65°

let the anothe angle=x

x+65=130(sum of two angle is equal to opp ext angle.

x=130-65

x=65°

now
all angle of triangle
let a=65

b=65

c=?

a+b+c=180(sum of all angle of triangle)

65+65+c=180

c =180-130

c =50°


thus it is isosceles triangle

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