Answer: The value of x is 6
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Angle HDC and angle HDB combine to form a right angle.
The two angles add up to 90 degrees.
So,
(angle HDC) + (angle HDB) = 90
(9x+4) + (32) = 90
9x+(4+32) = 90
9x+36 = 90
9x+36-36 = 90-36 ... subtract 36 from both sides
9x = 54
9x/9 = 54/9 ... divide both sides by 9
x = 6
