Mathematics: If δywz ~ δyxw, what is true about xwz? a. xwz is an obtuse angle.b. xwz is a right angle.c. xwz is congruent to wxy.d. xwz is congruent to xzw.

If δywz ~ δyxw, what is true about xwz? a. xwz

idontknow1993

06.01.2022

If $\triangle YWZ \sim \triangle YXW$ , then

$\angle YWZ\cong \angle YXW,\\\angle WYZ\cong \angle XYW,\\\angle WZY\cong \angle XWY.$

Consider angle XWZ:

$m\angle XWZ=m\angle XWY+m\angle YWZ$ .

Since $\angle YWZ\cong \angle YXW,$ , then

$m\angle XWZ=m\angle XWY+m\angle YWZ=m\angle XWY+m\angle YXW\ \ (*)$ .

Now consider the right triangle XWY. The sum of measures of all angles of triangle is equal to 180°, so

$m\angle XWY+m\angle WXY+m\angle WYX=180^{\circ},\\m\angle XWY+m\angle WXY=180^{\circ}-m\angle WYX=180^{\circ}-90^{\circ}=90^{\circ}.$

Substitute this expression into expression (*): $m\angle XWZ=90^{\circ}$ .

correct choice is B.

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victor77

19.10.2020

Answer 7

Step-by-step explanation: if you look at it closely it tells u the answer heh

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