Q:

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.

Accepted Solution

A:
Answer: ∠ 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)