Question

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.

Answer 1

Right Angle

Explanation:

Answer 2

The angle XWZ is right angle.

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)