Question

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m∠MYX =?? degrees


° m∠ZMW =?? degrees

Answer 1

m<MYX=29°

m<ZMW=90 diagonal bisect each other perpendicularly

Explanation:

m<MYX+m<MXY+m<XMY=180 sum of interior angle of the triangle

here

m<XMY=90° diagonal bisect each other perpendicularly

m<MYX+61°+90°=180

m<MYX=180-151=29°

Answer 2

<ZMW =90

<MYX = 29

Explanation:

Remark

A Rhombus has a lot of peculiar properties. One of them is that the diagonals intersect at right angles. That means <ZMW =90 degrees.

Since the angle XMY = 90 degrees, it follows that <MXY + <MYX = 90 degrees because the third angle of the triangle = 90.

<MXY = 61 is given

So 61 + <MYX = 90 Subtract 61 from both sides.

<MYX = 90 - 61

<MYX = 29