Question

One of the exterior angles of a triangle is 70 degrees and the interior opposite angles are in the ratio 2:3. Find the angles of the triangle.

Answer 1

Answer:

Ok Explanation down below

Step-by-step explanation:

exterior angle =70

hence supplementary interior angle =180–70 =110

one of the three angles of triangle is 110degree

hence sum of 2 remaining angle =180 -110 =70

we have to distribute 70 degrees in 2:3  ratio

2+3=5

for 5=50 degrees so far 2 =50*2 /5 =20degrees

similarly other angle is =50*3/75=30 degrees or 50–20=30 degrees

Answer :The angles of triangle are 20 degrees,30 degrees &110 degrees