Question

Triangle ABC is similar to triangle EHG , find the measure of angle EHG .

Answer 1

`\angle EHG = 80`

Explanation:

Given

ABC ∼ EHG

See attachment

Required

Determine
`\angle EHG`

First, we calculate x in ABC

`x + 2x + 60= 180`

`3x + 60= 180`

`3x = 120`

`x = 40`

The corresponding angle to
`\angle EHG` is
`\angle ABC`

and

`\angle ABC = 2x`

`\angle ABC = 2 * 40`

`\angle ABC = 80`

Hence:

`\angle EHG = 80`