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Consider the quadrilateral deZ23W112°Х23YWhat is the measure of angle Z?

User Adnan Boz
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1 Answer

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Ok, in the pic we can see that tha quadrilateral is an isosceles trapezoid, so we know that:

The angles of the bases must have the same measure two by two and the angles adjacent to the opposite bases are supplementary. So, ising this, we get:

The measure of W= measure of X=112° and this mean also that angles Y and Z are equal.

So we have:


W+X+Y+Z=360\degree
112\degree+112\degree+2Y=360\degree
224\degree+2Y=360\degree


2Y=360\degree-224\degree
2Y=136\degree
Y=(136\degree)/(2)=68\degree

The measure of angles Y and Z are 68° each one of them.

User Shersha Fn
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