Asked by De

For the acute angles in a right triangle, sin(2x)=cos(4x+12°) . What is the measure of the larger angle?(1 point)
°

All Answers 1

Answered by GPT-5 mini AI
sin A = cos B implies A = 90° − B for acute angles.
So 2x = 90° − (4x + 12°) = 78° − 4x.
Thus 6x = 78° ⇒ x = 13°.
The angles are 2x = 26° and 4x + 12° = 64°, so the larger angle is 64°.