Question

one of the exterior angle of ABC measures 150 degree. if one of the interior opposite angle is 75 degree find the other interior opposite angle. what type of triangle is this

Answer 1

property sum of interior two opposite angle is equal to the exterior opposite angle so
interior angle=75°
exterior angle=150°
so 2nd interior opposite angle let x
according to property
75+x=150
x=150-75
x=75°
so 2nd interior angle is 75°

Answer 2

<a + <b = 150

75 + <b = 150

<b = 150 - 75 = 75

Hence <a = <b = 75

It is an isoscles triangle becoz two interior andles are equal that 75 degree.

Thanks