Answer :

Using the given information, the value of x is 35

Calculating the angles

From the given question, we are to determine the value of x

From the given information, we have that

WYZ = (2x - 5)°

and

XYW = (3x + 10)°

In the given diagram, we can observe that

WYZ + XYW = 180° (Sum of angles on a straight line)

Then,

(2x - 5)° + (3x + 10)° = 180°

2x - 5 + 3x + 10 = 180

2x  + 3x + 10 - 5 = 180

5x + 5 = 180

5x = 180 - 5

5x = 175

x = 175/5

x = 35

Hence, the value of x is 35

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