Question

find the measure of angle ∠ced in the figure below. enter only the number.

Explanation:

Step1: Identify the given angle

We are given an angle of \(122^{\circ}\) which is adjacent to \(\angle CED\).

Step2: Use the linear - pair property

A linear - pair of angles sums up to \(180^{\circ}\). Let \(\angle CED=x\). Then \(x + 122^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(122^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 122^{\circ}\).
\[x = 58^{\circ}\]

Answer:

58