Respuesta :

The angle represented as X is =

Calculation of the angle

From the diagram,

Triangle ∆ ABD = triangle ∆ CBD

Notice that < ADC = an acute angle which is = 90°; and

<ADC = < ADB + < CDB

But , < ADB= 49° and < CDB = 7x

90° = 49 + 7x

Make 7x the subject of formula,

7x = 90-49

7x = 41

X =41/7

X = 5.86

Therefore, X = 5.86.

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