The true statement is the angle XWZ is right angle.
A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
The complete question is:
Line segment W Y is an altitude in triangle WXZ.
Triangle W X Z is shown. An altitude is drawn from point W to point Y on side Z X, forming a right angle. Angles Z W Y and W X Y are congruent.
If ΔYWZ ~ ΔYXW, what is true about Angle XWZ?
Angle XWZ is an obtuse angle.
Angle XWZ is a right angle.
Angle XWZ is congruent to Angle WXY.
Angle XWZ is congruent to Angle XZW.
As, in triangle WXZ, WY is an altitude.
So, ∠ WYZ = ∠ XYW = 90°
Now, ∠ ZWY = ∠ WXY.
Now, from Δ XYW,
∠ WXY + ∠ YWX = 90°
∠ ZWY + ∠ YWX = 180° {Since, ∠ ZWY = ∠ WXY}
∠ XWZ = 90°
Hence, the angle XWZ is right angle.
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