Question

In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?

A.) 15
B.) 25
C.) 40
D.) 50

Answer 1

The measure of the smallest angle of the triangle is 40. The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

Answer : C. 40

In a right triangle, the acute angles measure x + 15 and 2x degrees

We know right angle is 90 degree.

In right angle triangle , one angle is 90 and other two angles are x+15  and 2x

WE know sum of angles in a triangle = 180

90 + x+15 + 2x = 180 (combine like terms)

105 + 3x = 180

Subtract 105 on both sides

3x = 75 (Divide by 3 on both sides)

x= 25

In right angle triangle , one angle is 90 and other two angles are x+15  and 2x

Replace x with 25

So angles of the right triangle are 40, 50 , 90 degrees

Smallest angle of the triangle= 40