Question

The exterior angle of a triangle is 120° and one of it's interior opposite angle is 58° then the other opposite interior angle is​

Answer 1

Answer:

Step-by-step explanation:

Given,

Let triangle be ABC,

Angle, A = 50

            B = ?

            C = ?

Exterior angle = 120

one of the interior angle =A = 50

To find :

other two angles of triangle .

solution :

we know that,

Exterior angle = sum of two interior opposite angles

 120 = ANGLE A + ANGLE B

 120 = 50 + B

 120 - 50 = B

 70 = B

 ⇒ B = 70

We know that

In triangle ,

 Sum of three angles is 180.

Angle

A + B + C = 180

50 + 70 + C = 180

120 + C = 180

C = 180 - 120

C = 60.

∴ OTHER TWO ANGLES = 70 , 60.

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