Question

In a right triangle, if one acute angle has measure 6x-10 and the other has measure 2x-4 , find the larger of these two angles.

Answer 1

We can set these two angles = 90degrees, since we know the third angle is 90degrees and triangles sum to 180degrees.
So:
6x-10 + 2x-4= 90
Now we can add like terms and solve for x:
8x-14 = 90
8x= 104
x= 13
Now we can sub x back into the given equations and see which angle is the largest:
6(13) - 10 = 68degrees
and
2(13) - 4 = 22degrees