Question

enter the given angle measure into the diagram.
given:

• ∠mez as ∠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:
the measure of ∠zeb can be calculated
m∠zeb = □

Explanation:

Step1: Use the property of supplementary angles

We know that \( \angle MEZ+\angle ZEB + \angle BER = 180^{\circ}\). Since \( \angle MEZ=\angle BER = 20^{\circ}\) (given \( \angle MEZ\cong\angle BER\)), we substitute these values into the equation: \(20^{\circ}+m\angle ZEB + 20^{\circ}=180^{\circ}\).

Step2: Solve for \(m\angle ZEB\)

Combine like - terms: \(m\angle ZEB+40^{\circ}=180^{\circ}\). Then subtract \(40^{\circ}\) from both sides of the equation: \(m\angle ZEB=180^{\circ}- 40^{\circ}\).

Answer:

\(140^{\circ}\)