The measure of one acute angle of a right triangle is 12 more than 3 times the measure of the other acute angle. Find the measure of each acute angle of the right triangle

The sum of the two acute angles is 90 degrees. Set this up in the form of the following equation.
\(x + 3x + 12 = 90\)
We know this because the two angles are x and 3x + 12.
From here you just need to solve.
\(4x = 78\)
\(x = \frac{39}{2}\), or 19.5
This is the measure of one angle. The measure of the other angle is therefore, after a few calculations, 70.5.

19.5 degrees, 70.5 degrees.

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ewomazinoade ewomazinoade · Answer 2 · 2021-10-21T04:40:13-04:00

The measure of the acute angles in the right triangle are 19.5 degree and 70.5 degree

A right-angled triangle is a three-sided polygon with three edges and three vertices. The sum of angles is 180 degrees. One of the angles in a right angled triangle measure 90 degrees.

An acute angle is an angle that is less than 90 degrees.

If a right triangle, has an angle measuring 90 degrees, the two other acute angles would add up to 90 degrees ( 180 - 90).

Let x represent one of the acute angle

Second acute angle = 12 + 3x

This can be represented with this equation: 12 + 3x + x = 90

12 + 4x = 90

4x = 90 - 12

4x = 78

x = 19.5 degree

The second acute angle

12 + 3(19.5) = 70.50 degrees

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