The value of the x will be 21.8. The ratio of their sides is the same as a similar triangle.
What is trigonometry?
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
From Δ FEG and Δ IHJ. it is obtained that;
GF=60
JI=43
EG = 36
HJ= x + 4
x=?
For a similar triangle, the ratio of their sides is equal.
[tex]\rm \frac{GF}{JI} =\frac{EF}{HJ} \\\\ \frac{60}{43} =\frac{36}{HJ} \\\\ HJ=\frac{36 \times 43}{60} \\\\ HJ=25.8[/tex]
HJ = x + 4
25.8 = x + 4
x = 25.8 - 4
x = 21.8
Hence the value of the x will be 21.8.
To learn more about trigonometry, refer to the link https://brainly.com/question/26719838
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