Question

$\angle s$ and $\angle t$ are complementary to each other. $\angle s = 10x^\circ$, $\angle t = 40^\circ$. find the value of $x$. options: a. 5, b. 50, c. 45, d. 10

Explanation:

Step1: Recall complementary angles property

Complementary angles sum to \(90^\circ\). So, \(\angle S + \angle T = 90^\circ\).

Step2: Substitute given values

We know \(\angle S = 10x^\circ\) and \(\angle T = 40^\circ\). Substitute into the equation: \(10x + 40 = 90\).

Step3: Solve for \(x\)

Subtract 40 from both sides: \(10x = 90 - 40 = 50\). Then divide by 10: \(x = \frac{50}{10} = 5\).

Answer:

A. 5