Question

the given diagram shows a construction completed using a straightedge and a compass.the diagram shows the constructionif $m\angle abc$ is $24^\circ$, then $m\angle fde$ is $\boldsymbol{\box}^\circ$.

Explanation:

Step1: Identify construction type

The diagrams show the standard compass-and-straightedge construction of a congruent angle, where $\angle FDE$ is constructed to match $\angle ABC$.

Step2: Apply congruent angle property

By the definition of congruent angle construction, $m\angle FDE = m\angle ABC$.
Substitute $m\angle ABC = 24^\circ$:
$m\angle FDE = 24^\circ$

Answer:

The diagram shows the construction of a congruent angle.
If $m\angle ABC$ is $24^\circ$, then $m\angle FDE$ is $\boldsymbol{24}$°.