Question

11 ∠stu and ∠vwx are supplementary angles. if m∠stu = 34°, what is m∠vwx? a 156° b 146° c 56° d 46°

Explanation:

Step1: Recall supplementary angles property

Supplementary angles sum to \(180^\circ\). So, \(m\angle STU + m\angle VWX = 180^\circ\).

Step2: Substitute known angle

Given \(m\angle STU = 34^\circ\), solve for \(m\angle VWX\):
\(m\angle VWX = 180^\circ - 34^\circ = 146^\circ\).

Answer:

B. \(146^\circ\)