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Pavel [41]
4 years ago
5

In a parallelogram, if the measure of y is 32 degrees what is the measure of w

Mathematics
1 answer:
alekssr [168]4 years ago
8 0
Talking about a parallelogram, we know that:
opposite sides and angles are congruent
in the picture below:
∠A = ∠C
AD = BC
if one angle is right, then the rest are right as well (making it a rectangle/square)
The consecutive angles are supplementary (meaning they add up to 180)
A + D = 180°

If y and w are consecutive angles, then 
w = 180 - 32
    =148°
If they are opposite angles, w = 32° (congruent angles)

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Answer:

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Step-by-step explanation:

Line segment EF is certainly perpendicular to line segment AC, but we don't know if it bisects or not.

If the picture isn't drawn to scale, there is no way to know if EF is a perpendicular bisector to AC or not because we do not know if AD = CD.

If the picture is drawn to scale, EF is not a perpendicular bisector to AC because we can see that AD ≠ CD and therefore EF cannot be a perpendicular bisector.  

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