Answer:
[tex]<A'B'C' = 21[/tex]
Step-by-step explanation:
Given
ABC dilated to A'B'C'
[tex]<ABC = 21[/tex]
[tex]Scale\ Factor = \frac{1}{3}[/tex]
Required
Determine <A'B'C'
From geometry, we understand that dilation do not affect angles.
In other words, when ABC is dilated to A'B'C, the angles of A'B'C' retains the angles in ABC.
Using the above analysis:
[tex]<A'B'C' = <ABC = 21[/tex]
Hence,
[tex]<A'B'C' = 21[/tex]
