Question

one of the exterior angles of a triangle is 115 degree and the interior opposite angles are in the ratio 2 is to 3 find the magnitude of interior opposite angle​

Answer 1

Answer:

ABC is a triangle  

Angle A=5x  

and angle B =2x  

Now,angle ACD is the exterior angle of triangle ABC  

WE know exterior angle of traingle IS equal to sum o finterior opposite angles.  

angle ACD=Angle A+angle B  

105=5x+2x  

=7x  

x=15  

angle A=5*15=75  

angle B=2*15=30

Answer 2

answer: let it be a triangle ABC

we know that angle A=2x

and angle B = 3x

we also know that sum of two interior angles of a triangle is equal to its opposite exterior angle

so, sum of angleA and angle B= exterior angle

it is given that exterior angle is 115

2x+3x=115

5x=115

x=115/5

x=23

therefore, angle A = 2x23 = 46

and angle B =3x23 = 69