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m∠XYZ = 162°

Step-by-step explanation:

We can see that ∠XYZ is an exterior angle while ∠W and ∠X are the opposite interior angles.

We know that the exterior angle of triangle is equal to the sum of opposite interior angles

Given

m∠XYZ = (15x-18)°

m∠W = (5x+2)°

m∠X = (8x+4)°

Mathematically it can be written as:

m∠X+m∠W = m∠XYZ

Putting x=12 in m∠XYZ

Hence,

m∠XYZ = 162°

9 x 8 divided by (5-3)=36

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)