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mezya [45]
3 years ago
6

Help asap please i dont even know what to do

Mathematics
2 answers:
sp2606 [1]3 years ago
8 0

Answer:

m∠SWX=39°, and m∠VWY=51°

Step-by-step explanation:

∠XWU and ∠VWY are vertical angles. Vertical angles are congruent.

∠XWU=∠VWY

we are given ∠XWU=(7x+2)° and ∠VWY=(4x+23)°, so:

7x+2=4x+23

3x+2=23

3x=21

x=7

Now substitute x for 7 in both expressions to get the measures of the angles.

∠XWU=(7(7)+2)°=(49+2)°=51°

∠VWY is also 51° because it is congruent to ∠XWU, but just to make sure:

∠VWY=(4(7)+23)°=(28+23)°=51°

we also need ∠SWX. We can see it makes a right angle with ∠XWU, so their sum is 90°.

∠SWX+51=90

∠SWX=39°

Ugo [173]3 years ago
4 0

Answer:

7x+2 and 4x +23 are the same

so 7x+2=4x+23

7x-4x=23-2

3x=21

x=21/3

x=7

Plug it in to the angles

UWX = 7(7)+2 = 51

<u>VWY = 51 because they are  vertically opposite</u>

<u />

so because UWX is 51

SWU makes up 90

so you do 90-51 to get SWX

<u>and thats equals to 39</u>

<u />

<u>In summary</u>

<u>VWY = 51</u>

<u>SWX = 39</u>

Step-by-step explanation:

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