One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 40 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

Answer: The LARGEST angle has a measure of
degrees.

Respuesta :

The measure of the largest angle is 84°

How to compute the value?

It should be noted that the total angles on a triangle is 180°.

Let the smallest angle = x

Second angle = x + 40

Third angle = 3x

Therefore 3x + x + x + 40 = 180

5x = 180 - 40

5x = 140

x = 140/5

x = 28

Therefore, the largest angle will be:

= 3x

= 3 × 28°

= 84°

Therefore, the measure of the largest angle is 84°

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