Going by the indices provided, if the measure of Angle BZD is (3x) then, x = 17°. The proof is angle on a straight line.
The total angle on a straight line is given as 180°.
Since ∠AZC = 90°; and
∠CZB = 39°; hence,
∠BZD = 180 - (90 + 39) = 51.
If ∠BZD = 3x
Then 3x = 51
x = 51/3
x= 17°
See the attached image.
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