Question

In a right triangle the acute angles measured x+14 and 2x degrees what is the measure of the larger acute angle of the triangle

Answer 1

The larger acute angle is 50 2/3 degrees.

Explanation:

In order to find this, we first need to create an equation that helps to find the value of x. All 3 angle should add to 180, so we can give the two unknowns in terms of x and add 90 to get 180.

x + 14 + 2x + 90 = 180

3x + 104 = 180

3x = 76

x = 25 1/3

Now that we have this, we can put it in for both equations to find their values.

2x = 2(25 1/3) = 50 2/3

x + 14 = 25 1/3 + 14 = 39 1/3

The first would be larger and therefore would answer the question.