Question

∠u and ∠v are complementary to each other. ∠u = 7x° ∠v = 55° find the value of x. a 5 b 35 c 90 d 7

Explanation:

Step1: Recall complementary angles rule

Complementary angles sum to \(90^\circ\), so \(\angle U + \angle V = 90^\circ\).

Step2: Substitute given values

Substitute \(\angle U = 7x^\circ\) and \(\angle V = 55^\circ\) into the equation: \(7x + 55 = 90\).

Step3: Solve for \(x\)

Subtract 55 from both sides: \(7x = 90 - 55 = 35\). Then divide by 7: \(x = \frac{35}{7} = 5\).

Answer:

A. 5