What is the value of in in the equation? A. 14 B. 76 C. 166 D. 346 sin14^circ =cosx^circ

Here's how to solve this problem:<br /><br />* **Complementary Angles:** The sine of an angle is equal to the cosine of its complementary angle. Two angles are complementary if their sum is 90 degrees.<br /><br />* **Setting up the Equation:** Since sin(14°) = cos(x°), we know that 14° and x° are complementary angles. Therefore:<br /><br /> 14° + x° = 90°<br /><br />* **Solving for x:** Subtract 14° from both sides of the equation:<br /><br /> x° = 90° - 14°<br /> x° = 76°<br /><br />Therefore, the answer is $\boxed{B. 76}$<br />