Question

and exterior angle of a triangle measures the 130° and the interior opposite angles are equal to the each other .find the measure of each angle of a triangle

Answer 1

-----------65,65 and 50

Answer 2

Step-by-step explanation:

Given :-

an exterior angle of a triangle measures 130 degree and its interior opposite angles are equal to each other .

To find:-

find the measures of each angle of the triangle.

Solution:-

The measure of the exterior angle=130°

The opposite interior angles are equal

Let they be X° each

As we know that,

The exterior angle of a triangle is equal to the opposite two interior angles

=>X°+X°=130°

=>2X=130°

=>X=130°/2

=>X=65°

and

Now two angles are 65°and 65°

We know that the sum of three angles in a triangle is 180°

Let the third angle be y°

=>65°+65°+y=180°

=>y+130°=180°

=>y=180°-130°

=>y=50°

Answer:-

The measurements of all angles in a triangle are 65°,65°,50°

Used concept:-

The exterior angle is equal to the opposite two interior angles of it in a triangle.

The sum of all the three interior angles is equal to 180°.