Question

of the indicated angle in each triangle.
2)
3)
129° 180°
v
103°
t 53°
u x
m∠vux = __________

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Identify non - adjacent interior angles

In \(\triangle TUV\), the non - adjacent interior angles to \(\angle VUX\) are \(\angle T\) and \(\angle V\). Given \(\angle T = 53^{\circ}\) and \(\angle V=103^{\circ}\).

Step3: Calculate the exterior angle

\(m\angle VUX=\angle T+\angle V\). So \(m\angle VUX = 53^{\circ}+103^{\circ}=156^{\circ}\).

Answer:

\(156^{\circ}\)