By using the fact that EHG and DHJ are vertical angles, we will reach the conclusion that the value of x is 10.
How to find the value of x?
Here we know that angle DHJ measures 140°, and that angle is the vertical angle to EHG, so EHG also measures 140°.
By looking at the image, we can see that the measure of EHG is equal to the addition between the measures of FHG (which is a right angle, so it measures 90°) and EHF (which depends on x).
Then we can write the equation:
m∠EHG = m∠EHF + m∠FGH
Replacing the values we know we get:
140° = 90° + (5x)°
140° - 90 = (5x)°
50° = (5x)°
50°/5 = (x)° = 10°
We conclude that the value of x is 10
If you want to learn more about vertical angles:
https://brainly.com/question/14362353
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