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given: er bisects ∠zem. m∠ceq = 40°. enter the measures and rea needed …

Question

given:
er bisects ∠zem.
m∠ceq = 40°.
enter the measures and rea
needed to calculate m∠qe
m∠qez = diagram notes:
first, enter the given inforr

Explanation:

Step1: Use the property of a straight angle

A straight angle measures \(180^{\circ}\). Since \(\angle QEM\) is a straight angle (\(180^{\circ}\)) and we know \(\angle C EQ = 40^{\circ}\), and \(\angle QEZ\) and \(\angle ZEM\) are related. But we can also note that \(\angle QEZ=180^{\circ}-\angle ZEM\). However, from the diagram, we can directly use the fact that \(\angle QEZ = 100^{\circ}\) (given in the diagram as the measure between \(Q\) and \(Z\) at point \(E\)).

Answer:

\(100^{\circ}\)