Question

in \\(\delta efg\\) and \\(\delta yxz\\), \\(m\angle f = m\angle x\\) and \\(m\angle e = m\angle y\\). if \\(m\angle e = 62^{\circ}\\) and \\(m\angle x = 80^{\circ}\\), what is the measure of \\(\angle y\\)?

Explanation:

Identify the given angle relationships

We are given:

$$ m\angle F = m\angle X $$

$$ m\angle E = m\angle Y $$

Identify the given numerical values

We are given:

$$ m\angle E = 62^\circ $$

$$ m\angle X = 80^\circ $$

Solve for the target angle

Using the given equality:

$$ m\angle Y = m\angle E = 62^\circ $$

Answer:

In \(\Delta EFG\) and \(\Delta YXZ\), \(m\angle F = m\angle X\) and \(m\angle E = m\angle Y\). If \(m\angle E = 62^\circ\) and \(m\angle X = 80^\circ\), what is the measure of \(\angle Y\)? <blank>\(62^\circ\)</blank>