Question

in the diagram shown to the right, m∠acb = 59°. find the following. m∠ecd = °

Explanation:

Step1: Identify vertical - angles property

Vertical angles are equal. $\angle ACB$ and $\angle ECD$ are vertical angles.

Step2: Apply the property

Since $\angle ACB$ and $\angle ECD$ are vertical angles, $m\angle ECD=m\angle ACB$.
Given $m\angle ACB = 59^{\circ}$, so $m\angle ECD=59^{\circ}$.

Answer:

$59$