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Mila [183]
3 years ago
5

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

egrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Mathematics
2 answers:
svetlana [45]3 years ago
7 0

Answer:

84°

Step-by-step explanation:

smallest angle=x

3x=2nd angle

x+40=3rd angle

angles in a triangle add up to 180 degrees so

5x+40=180

5x=140

x=28

largest angle = 3x

so 3 x 28 = 84 degrees

The largest angle is 84 degrees

enot [183]3 years ago
4 0

<u>Answer:</u>

Largest angle = 84°

<u>Step-by-step explanation:</u>

According to the given information, we are assuming the smallest angle of the triangle to be x degrees, next angle to be 3x degrees and the last angle to be x+40 degrees.

We know that all three angles of a triangle add up to 180 degrees so:

x+3x+x+40=180

5x=140

x=28

Smallest angle = 28°

Next angle = 3(28) = 84°

Last angle = 28+40 = 68°

Therefore, the largest angle = 84°

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