Question

in a triangle one of the interior angle is 105 degree. One of the interior opposite angle is 75 degree. Find the measure of the all the angle of the triangle

Answer 1

property =sum of two interior opposite angle is equal to exterior opposite angle so
interior angle = 75°
exterior angle=105°
so let 2nd interior anglex
75+x=105
x=105-75
x=30°
angle a= 30°
angle b=75°
angle c=x
so according to property sum of all the angles of triamgle is equal to 180°
30+75+x=180°
105+X=180°
x=180-105
x=75°