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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.

Respuesta :

billiejean05

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

alinakincsem

Answer:

Largest angle = 84°

Step-by-step explanation:

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

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

[tex]x+3x+x+40=180[/tex]

[tex]5x=140[/tex]

[tex]x=28[/tex]

Smallest angle = 28°

Next angle = [tex]3(28)[/tex] = 84°

Last angle = [tex]28+40[/tex] = 68°

Therefore, the largest angle = 84°

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