Question

in a right triangle the acute angles measure x+15 and 2x degrees. what is the measure of the larger acute angle of the triangle? 15, 25, 40, 50

Answer 1

the answer is 40. one angle is 90 degrees.

Answer 2

The correct option is 4. The measure of the larger acute angle of the triangle 50 degrees.

Explanation:

In a right angled triangle, measure of one angle is 90 degrees and two other angles are acute angle (less than 90 degrees).

It a right triangle the acute angles measure x+15 and 2x degrees.

According to the angel sum property, the sum of interior angles of a triangle is 180 degrees.

`90+(x+15)+(2x)=180`

`3x+105=180`

`3x=180-105`

`3x=75`

`x=25`

The value of x is 25.

The measures of acute angles are

`x+15=25+15=40`

`2x=2* 25=50`

The measures of acute angles are 40 and 50 degrees.

Therefore the measure of the larger acute angle of the triangle 50 degrees. Option 4 is correct.