Question

these figures are congruent. what is m∠x?

Explanation:

Step1: Recall congruent - figure property

Corresponding angles of congruent figures are equal.

Step2: Identify corresponding angles

Angle \(X\) corresponds to angle \(G\).

Step3: Find angle \(G\)

Since the figures are congruent, \(m\angle X=m\angle G\). In the first figure, \(m\angle G\) is \(109^{\circ}\). So \(m\angle X = 109^{\circ}\).

Answer:

\(109\)