The value of x will be equal to 6.81.
What are Lines and angles?
An endlessly long row of evenly spaced dots that spans in both directions makes up a line. Its length is the only dimension it has. A horizontal mark drawn on a piece of paper can be considered an example of a line. A figure made by two rays that intersect at the same endpoint is referred to as an angle.
Given that In the figure shown, m∠THV=(14x+18)∘, m∠THX=57∘, and m∠XHV=(11x−18)∘.
The value of x will be calculated as below:-
11x−18 = 57
11x = 57 + 18
11x = 75
x = 75 / 11 = 6.81
Therefore, the value of x will be equal to 6.81.
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