Please help. Last chance to get my diploma

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°

Question

Please help. Last chance to get my diploma 

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°

anonymous · Answer

I think its 50 but don't count on me.

anonymous · Answer

How did you get it?

anonymous · Answer

I think i got it wrong. hold on.

anonymous · Answer

Nevermind, its 50. The angles in a triangle sum to 180 degrees. So as the right angle is 90, the other two must total 180 - 90 = 90. 

So, x+15 + 2x = 90 
Therefore 3x = 90 - 15 = 75 
and so x=25. 

So the smaller angles are x+15 = 40 degrees and 2x=50 degrees. 
So the larger one is 50 degrees.

anonymous · Answer

thanks so much!

anonymous · Answer

Your welcome