X is the midpoint of UV. Y is the midpoint of UW. If m∠UXY = 58, find m∠V.

∠UXY and ∠V are corresponding angles, therefore m∠V = 58°

Recall:

Given:

m∠UXY = 58°

Since X is the midpoint of UV and Y is the midpoint of UW, therefore:

∠UXY and ∠V are corresponding angles.

m∠V = 58°

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m∠V = 58°

Solution:

Given data:

X is the midpoint of UV and Y is the midpoint of UW.

XY is parallel to VW.

Now, XY and VW are parallel lines cut by a transversal UV.

∠UXY and ∠UVW are corresponding angles.

If two parallel lines cut by a transversal, then the corresponding angles are congruent.

∠UXY ≅ ∠UVW

m∠UXY = m∠UVW

58 ° = m∠UVW

Switch the sides.

m∠UVW = 58°

⇒ m∠V = 58°

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

the correct answer is d

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