Question

enter the given angle measure into the diagram.
given:

• ∠mez ≅ ∠ber.
• m∠mez = 20°.

enter each measure required to calculate m∠meb, starting
with the given information.
the measure of ∠meb can be calculated.
m∠meb =
the measure of ∠meb can not be calculated.
diagram notes:

Explanation:

Step1: Use the property of a right - angle and given congruent angles

Since \(\angle MEZ\cong\angle BER\) and \(m\angle MEZ = 20^{\circ}\), then \(m\angle BER=20^{\circ}\). Also, assume the right - angle at \(E\) (the small square in the diagram represents a \(90^{\circ}\) angle).
We know that the sum of angles around a point on a straight line (or in a set of adjacent angles) can be used. If we consider the three angles \(\angle BER\), \(\angle MEB\), and \(\angle MEZ\) along with the right - angle (assuming the total is \(180^{\circ}\) if it's a linear pair - like situation with the right - angle concept). But more accurately, if we assume the relationship based on the congruent angles and the right - angle. Let's use the formula \(m\angle MEB=90^{\circ}-m\angle MEZ\) (because of the angle relationships in the diagram, if we consider the non - overlapping angles where one is a right - angle - related part).

Step2: Substitute the value of \(m\angle MEZ\)

Given \(m\angle MEZ = 20^{\circ}\), substitute into the formula \(m\angle MEB=90 - 20\)

Answer:

\(70\)