Question

1. m∠ecx = 60 m∠vtx =

Explanation:

Step1: Recall angle - sum property of a triangle

In \(\triangle VUT\), the sum of interior angles of a triangle is \(180^{\circ}\). Let's first find \(\angle VUT\).

Step2: Calculate \(\angle VUT\)

We know that in \(\triangle VUT\), if \(\angle V = 42^{\circ}\) and \(\angle U=37^{\circ}\), then \(\angle VUT = 180-(42 + 37)=101^{\circ}\).

Step3: Use the property of vertical - angles

\(\angle VTX\) and \(\angle VUT\) are vertical - angles. Vertical angles are equal. So \(m\angle VTX=m\angle VUT\).

Answer:

\(101^{\circ}\)