Question

$\angle s$ and $\angle t$ are complementary to each other. $\angle s = 9x^\circ$, $\angle t = 45^\circ$. find the value of $x$. options: a 45, b 5, c 9, d 90

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 \(\angle S = 9x^\circ\) and \(\angle T = 45^\circ\). Substitute into the equation: \(9x + 45 = 90\).

Step3: Solve for \(x\)

Subtract 45 from both sides: \(9x = 90 - 45 = 45\). Then divide by 9: \(x = \frac{45}{9} = 5\).

Answer:

B. 5