ZU and W are vertical angles. If mZU = 4x + 17 and mut = 142 - 23, find m4U.
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i believe it’s 165 because if u add 137 and 58 u get 195 and then subtract that from 360 and there’s ur answer

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen