Question

select the correct answer from each drop - down menu. the given diagram shows a construction completed using a straightedge and a compass. the diagram shows the construction if ( mangle abc ) is ( 24^{circ} ), then ( mangle fde ) is ( 24 )

Explanation:

When using a straightedge and compass to copy an angle, the constructed angle is congruent to the original angle. Here, the construction is for copying angle \(ABC\). By the property of angle - copying construction, if \(m\angle ABC = 24^{\circ}\), then the copied angle \(m\angle FDE\) has the same measure as \(m\angle ABC\) because the construction ensures that the two angles are congruent.

Answer:

The diagram shows the construction for copying angle \(ABC\). If \(m\angle ABC\) is \(24^{\circ}\), then \(m\angle FDE\) is \(24^{\circ}\).