In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measures of the 2 acute angles of the triangle. If the measures, in degrees, of the three angles of a triangle are x, , and , the triangle must be

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

Divide both sides by 3.

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

Therefore, the measures of two acute angles are 26° and 64° respectively.

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

570, the answer is 570, hope it