Question

What is the value of x?


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Answer 1

x = 24

Explanation:

ED is the angle bisector of ∠GEH , thus the following ratios are equal

`(EH)/(EG)` =
`(HD)/(GD)`, that is

`(56)/(44.8)` =
`(35)/(x+4)` ( cross- multiply )

56(x + 4) = 1568 ( divide both sides by 56 )

x + 4 = 28 ( subtract 4 from both sides )

x = 24