Question

question
△gez≅△vlr. if m∠g=85° and m∠e=71°, find m∠r.
answer attempt 1 out of 2
m∠r be determined.
submit

Explanation:

Step1: Recall triangle congruence and angle sum

Since \(\triangle GEZ \cong \triangle VLR\), corresponding angles are equal. Also, the sum of angles in a triangle is \(180^\circ\).

Step2: Find \(m\angle Z\) in \(\triangle GEZ\)

In \(\triangle GEZ\), \(m\angle G + m\angle E + m\angle Z = 180^\circ\). Given \(m\angle G = 85^\circ\) and \(m\angle E = 71^\circ\), we calculate \(m\angle Z\) as \(180^\circ - 85^\circ - 71^\circ = 24^\circ\).

Step3: Determine \(m\angle R\)

Since \(\triangle GEZ \cong \triangle VLR\), \(\angle Z\) corresponds to \(\angle R\). So \(m\angle R = m\angle Z = 24^\circ\), which means \(m\angle R\) can be determined.

Answer:

can