To solve such problems we need to know about similar figures.
What makes two figures similar?
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sides are in ratio. It is denoted by the symbol "[tex]\sim[/tex]".
Explanation
Given to us,
- [tex]ABCDE\sim GHJDF[/tex]
1.) [tex]\angle G\cong\{?\}[/tex]
As we know for a similar figure the corresponding angles are equal. therefore,
[tex]\angle G\cong\angle A[/tex], as they are the corresponding angle for the two figures.
2.) [tex]\dfrac{GF}{FD}=\dfrac{AE}{\{?\}}[/tex]
Let's assume that the unknown side is x.
As we know for a similar figure the corresponding sides are in ratio. therefore,
[tex]\dfrac{GF}{FD}=\dfrac{AE}{X}\\\\\dfrac{GF}{FD}=\dfrac{AE}{ED}[/tex]
Learn more about Similar Figures:
https://brainly.com/question/11561418
