One angle of a triangle exceeds another by 2 degrees. The sum of these 2 angles exceeds the third angle by 28 degrees. How large is each angle?

Respuesta :

The angles would be 76 , 51, and 53 degrees.

The value of each angle of the triangle is gotten as; 53°, 55° and 72°

How to find the angles of a triangle?

Let one angle be x.

Thus, second angle is; x - 2

Third angle is; (x + x - 2) - 28 = 2x - 30

Sum of angles in a triangle is 180°. Thus;

x + x - 2 + 2x - 30 = 180

4x - 32 = 180

4x = 180 + 32

x = 53°

Second angle = 53 + 2 = 55°

Third angle = 180 - (53 + 55)

Third angle = 72°

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