In a right triangle, the acute angles have the relationship sin(x+12°)=cos(18°+2x)
. What is the value of x? What is the measure of the smaller angle? Use 1–2 sentences to explain how you arrived at your answers.
1 answer
To solve for x, we can use the trigonometric identity sin(x)=cos(90°-x). Setting x+12° equal to 90°-(18°+2x), we can solve for x and find that x equals 24°. The smaller angle would then be x+12°, which is equal to 36°.
1 answer