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 d

Question

1 year ago

14

egrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer: The LARGEST angle has a measure of
degrees.

1 answer:

fredd [130] · Answer 1 · 2024-04-15T20:37:48+03:00

The measure of the largest angle is 84°

<h3>How to compute the value?</h3>

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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