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

Answer:

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

Step-by-step 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

$x+15=25+15=40$

$2x=2\times 25=50$

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.