Question

enter the given angle measure into the diagram.
given:

• ∠ceq ≅ ∠bed.
• m∠bed = 110°

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

Explanation:

Step1: Use the property of congruent angles

Since \(\angle CEQ\cong\angle BED\), then \(m\angle CEQ = m\angle BED=110^{\circ}\)

Step2: Use the fact that a straight - angle is \(180^{\circ}\)

We know that \(\angle CEQ+\angle BEQ = 180^{\circ}\) (they form a linear pair). Substitute \(m\angle CEQ = 110^{\circ}\) into the equation: \(110^{\circ}+m\angle BEQ=180^{\circ}\)

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

Subtract \(110^{\circ}\) from both sides of the equation: \(m\angle BEQ=180^{\circ}- 110^{\circ}\)

Answer:

\(70\)