Question

exterior angle of a triangle is 8 degree and its interior oppoite angles are equal to each other.what is the measure of these two angles?

Answer 1

Answer:

Angle A = 4° , Angle B = 4° , Angle C = 172°

Step-by-step explanation:

Interior Angle = 180° - Exterior Angle ( Angle in linear pair theorem)

Interior Angle = 180° - 8°

Interior Angle = 172°

Let the given triangle be ∆ABC

therefore angle C = 170°

Angle A = Angle B ( Given ) ___(1)

Therefore ,

Angle A + Angle B + Angle C = 180°( Sum of measures of all angle on a triangle is 180°)

Angle A + Angle A + 172° = 180°

2Angle A = 180° - 172°

2Angle A = 8°

Angle A = 8°/2

Therefore , Angle A = 4°

Also , Angle B =4°.