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 AngleXWZ?

AngleXWZ is an obtuse angle.

AngleXWZ is a right angle.

AngleXWZ is congruent to AngleWXY.

AngleXWZ is congruent to AngleXZW.

∠ XWZ is a right angle.

Step-by-step explanation:

See the given diagram.

In triangle WXZ, WY is an altitude.

So, ∠ WYZ = ∠ XYW = 90°

Now, given that ∠ ZWY = ∠ WXY.

Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° (1)

⇒  ∠ ZWY + ∠ YWX =  90° {Since, ∠ ZWY = ∠ WXY}

⇒ ∠ XWZ = 90°

Therefore, the angle XWZ is right angle. (Answer)

69.64%

step-by-step explanation: