Question

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

Answer 1

105=75+x

x is another oppositre interior angle

x=30

=>75+30+y=180

y=75

hence other 2 angles r 75,30

Answer 2

Answer:

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