one exterior angle of a triangle is 110 degree and one ko interior opposite angle is 30 degree find the remaining angles of the triangle

Asked by sanjanatirthani0574 | 12th Sep, 2020, 10:18: AM

Expert Answer:

One of the exterior angles of a triangle is 110o
We know that, exterior angle of a triangle = sum of the opposite interior angles
Let the three angles be a, b and c where exterior of angle c is 110o
therefore space Ext angle straight c equals angle straight a plus angle straight b
therefore space 110 degree equals 30 degree plus angle straight b
therefore space angle straight b equals 80 degree
Now comma space angle straight a plus angle straight b plus angle straight c equals 180 degree
therefore space angle straight c equals 180 degree minus 30 degree minus 80 degree space equals space 70 degree

Answered by Renu Varma | 14th Sep, 2020, 11:37: AM