Answer:
[tex]\angle EHG = 80[/tex]
Step-by-step explanation:
Given
ABC ∼ EHG
See attachment
Required
Determine [tex]\angle EHG[/tex]
First, we calculate x in ABC
[tex]x + 2x + 60= 180[/tex]
[tex]3x + 60= 180[/tex]
[tex]3x = 120[/tex]
[tex]x = 40[/tex]
The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]
and
[tex]\angle ABC = 2x[/tex]
[tex]\angle ABC = 2 * 40[/tex]
[tex]\angle ABC = 80[/tex]
Hence:
[tex]\angle EHG = 80[/tex]
