Question

Line WY is an altitude in triangle WXZ. If ΔYWZ ~ ΔYXW, what is true about XWZ? XWZ is an obtuse angle. XWZ is a right angle. XWZ is congruent to WXY. XWZ is congruent to XZW.

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

In triangle WXZ,

Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
If ΔYWZ ~ ΔYXW
∠WXY = ∠WZY

Then, we can also conclude 
∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)

Now, in any triangle, the sum of all the three angles is 180.

In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°

Similarly, in WZY.

Hence, we conclude that XWZ is a right angle.