Question

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 straight - line angle

A straight - line angle has a measure of \(180^{\circ}\). In the diagram, \(\angle MEZ+\angle MEB + 40^{\circ}=180^{\circ}\) (assuming the \(40^{\circ}\) angle is adjacent to \(\angle MEB\) and \(\angle MEZ\) on a straight line).

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

Given \(m\angle MEZ = 20^{\circ}\). Substitute into the equation \(20^{\circ}+m\angle MEB+40^{\circ}=180^{\circ}\).

Step3: Solve for \(m\angle MEB\)

Combine like terms: \(m\angle MEB+60^{\circ}=180^{\circ}\). Then subtract \(60^{\circ}\) from both sides: \(m\angle MEB=180^{\circ}- 60^{\circ}\).

Answer:

\(120\)