Question

the measure of \\( \angle ucb \\) can be the measure of \\( \angle ucb \\) is and \\( \angle drl \\) are

Explanation:

Step1: Recall the property of a linear pair

A linear pair of angles is supplementary, meaning their sum is \(180^{\circ}\).

Step2: Calculate the measure of \(\angle UCB\)

Let \(m\angle UCB = x\). Since \(\angle UCB\) and \(\angle DRL = 74^{\circ}\) are a linear pair, we have \(x+74^{\circ}=180^{\circ}\).

$$x = 180^{\circ}- 74^{\circ}$$

$$x=106^{\circ}$$

Answer:

The measure of \(\angle UCB\) is \(106^{\circ}\)