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select the correct answer. which angle is congruent to ∠qvs? a. ∠qvt b.…

Question

select the correct answer. which angle is congruent to ∠qvs? a. ∠qvt b. ∠rvs c. ∠svu d. ∠qvr

Explanation:

Step1: Calculate the measure of ∠QVS

$$ \angle QVS=40^{\circ}+50^{\circ}=90^{\circ} $$

Step2: Calculate the measure of each option

  • Option A: $\angle QVT = 40^{\circ}+50^{\circ}+45^{\circ}=135^{\circ}$
  • Option B: $\angle RVS = 50^{\circ}$
  • Option C: $\angle SVU=45^{\circ}+45^{\circ}=90^{\circ}$
  • Option D: $\angle QVR = 40^{\circ}$

Answer:

C. $\angle SVU$