Question

∠p and ∠q are complementary to each other. ∠p = 3x° ∠q = 45° find the value of x. a 15 b 135 c 13 d 45

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 \(\angle P = 3x^\circ\) and \(\angle Q = 45^\circ\). Substitute into the equation: \(3x + 45 = 90\).

Step3: Solve for \(x\)

Subtract 45 from both sides: \(3x = 90 - 45 = 45\). Then divide by 3: \(x = \frac{45}{3} = 15\).

Answer:

A. 15