QQuestionMathematics
QuestionMathematics
Which statement regarding the diagram is true?
m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°
4 \frac{\mathrm{~W}}{\mathrm{~W}} \frac{\mathrm{~V}}{\mathrm{~V}}
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Answer
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Step 1: Identify the angles in the diagram and label them.
We have three angles in the diagram: ∠WXY, ∠YXZ, and ∠YZX.
Step 2: Analyze the relationships between the angles.
From the diagram, we can see that ∠WXY and ∠YXZ are adjacent angles, meaning they share a common side (XZ). The sum of their measures is equal to the straight angle ∠WXZ, which measures 180 degrees.
Final Answer
m∠WXY + m∠YXZ = 180°
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