MATH SOLVE

5 months ago

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)