Question

If the exterior angle of a triangle is 140 degree and it's interior opposite angles are equal , find all the interior angles of triangle

Answer 1

Given,

Exterior angle of the triangle = 140°

Internal angles are equal

Solution,

For calculating the three interior angles of the triangle we have to calculate the value of the adjacent interior angle with the given exterior angle.

We know, exterior angle + interior angle = 180°

So, interior angle = (180° - 140°) = 40°

Now,

The sum of other two interior angles = 180° - 40° = 140°

So, the value of other two interior angles = (140°/2) = 70°

Hence,the three interior angles of the triangle is 40°,70°,70°.

Answer 2

Step-by-step explanation:

Angle SUR is an exterior angle of triangle STU. If angle SUR is 140 degree and angle STU is 60 degree, then find measure of angle UST 80 degree 60 degree 50 degree 100 degree