The value of x is 6.
Given,
m∠THV=(16x+20)
m∠THX=53
m∠XHV=(12x−9)
We need to find what is the value of x.
In the given figure we see that.
m∠THV = m∠THX + m∠XHV
Substituting the given:
m∠THV=(16x+20)
m∠THX=53
m∠XHV=(12x−9)
m∠THV = m∠THX + m∠XHV
(16x+20) = 53 + (12x−9)
16x + 20 = 53 + 12x - 9
Subtracting 12x on both sides
16x + 20 - 12x = 53 + 12x - 9 - 12x
4x + 20 = 53 - 9
4x + 20 = 44
Subtracting 20 on both sides
4x + 20 - 20 = 44 - 20
4x = 24
Dividing 4 on both. sides
4x/4 = 24/4
x = 6.
We see that x = 6.
Thus the value of x is 6.
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