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17. if ( mangle ywz = 17 ), what is ( mangle wxy )? 17 56 73 34

Question

  1. if ( mangle ywz = 17 ), what is ( mangle wxy )? 17 56 73 34

Explanation:

Step1: Use the property of isosceles triangle

Since \(WX = WZ\) and \(WY\) is the median (by the marks on the triangle), \(WY\) is also the angle - bisector. So \(\angle XWY=\angle YWZ = 17^{\circ}\).

Step2: Use the angle - sum property of right - triangle (implicit right - angle at \(Y\) due to median - altitude - angle bisector in isosceles triangle)

In \(\triangle WXY\), we know that the sum of angles in a triangle is \(180^{\circ}\), and \(\angle WYX = 90^{\circ}\). Let \(\angle WXY=\theta\). Then \(\theta+90^{\circ}+17^{\circ}=180^{\circ}\).

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Answer:

73