Question

in a triangle one of the exterior angles is 105°.one of the interior opposite angle is 75°.find the measure of all the angles of the triangle ​

Answer 1

If the exterior angle is 105 degree then the interior angle will be 75 degree to satisfy the linear pair (linear pair=180 degree)

so we came to know the degree of 2 angles in a triangle.

1 angle =75 degree

2 angle = 75 degree

to find the third angle lets use the angle sum property.

angle 1+angle 2+angle 3= 180 degree

75 degree+75 degree+angle 3=180 degree

150 degree+angle 3=180 degree

angle 3=180-150

angle 3=30 degree

SO

angle 1=75 degree

angle 2=75 degree

angle 3=30 degree

hope this helps