Question

$\angle$p and $\angle$q are complementary to each other. $\angle$p = $5x^\circ$ $\angle$q = $70^\circ$ find the value of x. a 20 b 5 c 70 d 4

Explanation:

Step1: Recall complementary angles rule

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

Step2: Substitute given values

We know \(\angle P = 5x^\circ\) and \(\angle Q = 70^\circ\). Substitute into the equation: \(5x + 70 = 90\).

Step3: Solve for \(x\)

Subtract 70 from both sides: \(5x = 90 - 70 = 20\). Then divide by 5: \(x = \frac{20}{5} = 4\).

Answer:

D. 4