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QuestionMathematics

What is the measure of $\angle Y Z W$ ?
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Answer

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Step 1:
: Identify the given information and use the fact that a straight angle is 180 degrees.

We are asked to find the measure of $\angle Y Z W$.

Step 2:
: Recognize that the sum of the measures of the angles in a straight angle is 180 degrees.

\angle X Y Z + \angle Y Z W = 180^\circ

Step 3:
: Use the given information to set up an equation.

55^\circ + \angle Y Z W = 180^\circ
So, we have:

Step 4:
: Solve for the unknown angle.

\angle Y Z W = 180^\circ - 55^\circ

Final Answer

\angle Y Z W = 125^\circ