Question

If the exterior angle of a triangle is 130 and it’s interior opposite angles are equal then find the measure of all interior angles of a triangle

Answer 1

Answer:

Based on diagram above, if exterior angle is 130∘130∘ then the corresponding interior angle is 180−130=50∘180−130=50∘

Since sum of angles of a triangle is 180∘180∘, we get x+x+50=180x+x+50=180

2x=180−50−1302x=180−50−130

x=1302=65∘x=1302=65∘

So angles are 65∘,65∘,50∘