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

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

welshfella · Answer

the 2 acute angles add up to 90 degrees  ( as the third angle = 90 degrees)
so we have 
2x + x +15 = 90
solve this equation for x

then you can easily see which is the larger angle

welshfella · Answer

can you solve that equation?

anonymous · Answer

whats x ? @welshfella

welshfella · Answer

solve the equation to find x:-
2x + x + 15 = 90
3x + 15 = 90
now subtract  15 to both sides and simplify

anonymous · Answer

its 25. Thank you so much for the help ! @welshfella

welshfella · Answer

yw

welshfella · Answer

x = 25  but the larger angle = 2*25 = 50