Question

For the acute angles in a right triangle, sin(2x)=cos(4x+12°)
. What is the measure of the larger angle?(1 point)
the answer is not 77 or 73

Answer 1

Let the two acute angles be 2x and 4x + 12°. Since they are acute angles of a right triangle, they are complementary:
2x + (4x + 12°) = 90°
6x + 12° = 90°
6x = 78°
x = 13°

The larger angle is 4x + 12° = 4(13°) + 12° = 52° + 12° = 64°.