Question

what is the measure of \\( \angle x \\)?
select the best answer from the choices provided.
\\( \bigcirc a. 56 ^ { \circ } \\)
\\( \bigcirc b. 66 ^ { \circ } \\)
\\( \bigcirc c. 114 ^ { \circ } \\)
\\( \bigcirc d. 124 ^ { \circ } \\)

Explanation:

Step1: Use properties of parallelogram

In a parallelogram, consecutive angles are supplementary. Let the given angle \(124^{\circ}\) and \(\angle x\) be consecutive angles.

Step2: Apply supplementary angle formula

If two angles are supplementary, \(a + b=180^{\circ}\). Here \(a = 124^{\circ}\), \(b=\angle x\). So \(\angle x=180^{\circ}- 124^{\circ}\)

$$ \angle x=180 - 124=56^{\circ} $$

Answer:

A. \(56^{\circ}\)