Question

the exterior angle of a triangle is 105 and one of the interior opposite angle is 60. find the other two angles​

Answer 1

Step-by-step explanation:

Given:-

the exterior angle of a triangle is 105 and one of the interior opposite angle is 60.

To find:-

find the other two angles.

Solution:-

The exterior angle of a triangle=105°

One of the interior angle =60°

Let the Other interior angle be X°

We know that "The exterior angle of a triangle is equal to the sum of opposite two interior angles".

=>60°+X°=105°

=>X°=105°-60°

=>X°=45°

The other interior angle =45°

Now the two opposite interior angles are 60° and 45°

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

60°+45°+Third angle =180°

=>105+third angle =180°

=>Third angle=180°-105°

=>Third angle =75°

Answer:-

The other two angles are 45° and 75°