Question

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

Answer 1

Answer:

Therefore, the measure of each interior opposite angle is 65o.

Step-by-step explanation:

Therefore, the measure of each interior opposite angle is 65o.

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Answer 2

Answer:

$\huge{\boxed{\rm{\red{65°,65°,50°}}}}$

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°.