Question

Right trapezoid WXYZ is shown. What is the measure of angle WXY?

Answer 1

C.
`107^(\circ)`

Step-by-step explanation:

We have been given an image of a right trapezoid and we are asked to find the measure of angle WXY.

We can see from our given trapezoid that angle XYZ and angle WZY measures 90 degrees.

Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals
`360^(\circ)`, so we can set an equation as:

`m\angle WXY+m\angle XYZ+m\angle YZW+m\angle ZWX=360^(\circ)`

Upon substituting the given measures of our trapezoid we will get,

`m\angle WXY+90^(\circ)+90^(\circ)+73^(\circ)=360^(\circ)`

`m\angle WXY+253^(\circ)=360^(\circ)`

`m\angle WXY+253^(\circ)-253^(\circ)=360^(\circ)-253^(\circ)`

`m\angle WXY=107^(\circ)`

Therefore, the measure of angle WXY is 107 degrees and option C is the correct choice.

Answer 2

Answer:
`107^(\circ)`

Step-by-step explanation: Here, WXYZ is a quadrilateral where, \angle WZY and \angle ZYX are right angles ⇒
`\angle WZY=\angle ZYX =90^(\circ)`

And,
`\angle XWZ= 73^(\circ)`

Since, The sum of all angles of a quadrilateral is equal to 360^{\circ}

Therefore,

`\angle WXY+\angle XWZ+\angle WZY+\angle ZYX =360^(\circ)`

⇒
`\angle WXY+73^(\circ)+90^(\circ)+90^(\circ)=360^(\circ)`

⇒
`\angle WXY=360^(\circ)-253^(\circ)=107^(\circ)`