Question

Help asap please i dont even know what to do

Answer 1

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

VWY = 51 because they are vertically opposite

so because UWX is 51

SWU makes up 90

so you do 90-51 to get SWX

and thats equals to 39

In summary

VWY = 51

SWX = 39

Explanation:

Answer 2

m∠SWX=39°, and m∠VWY=51°

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°