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Two acute angles of a triangle are congruent. The measure of the third angle is three times the measure of each acute angles. Find the measures of the angles of a triangle

Sagot :

Kalliopeidn
Let x be the measurement of one of the acute angles.
Let 3x be the measurement of the third angle.

We know that the sum of all the interior angles of a triangle is 180 degrees so we should add all the variables and equate them to 180 and we get:

3x + x + x = 180
(Note that each x represents the angle of congruency)

5x = 180
x = 36

The measurement of the acute angles is 36 degrees.

To solve for the measurement of the third angle, substitute the value of x, which is 36, to 3x.

3(36) = 108.
The third angle's measurement is 108 degrees.