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SCORPION-xisa [38]
3 years ago
8

Quadrilateral STUV is a rhombus. What is m/RVU?

Mathematics
2 answers:
Kisachek [45]3 years ago
5 0
  • STUV is a Rhombus
  • We know that in a Rhombus diagonals bisect eachother at 90°.
  • Diagonals are aslo bisectors of angles

So

\\ \tt\hookrightarrow m

nadezda [96]3 years ago
3 0

Answer:

  • m∠RVU = 60°

Step-by-step explanation:

<u>Properties of the rhombus:</u>

  • diagonals are perpendicular
  • opposite angles are equal
  • diagonals are angle bisectors

<u>Given:</u>

  • m∠TUR = 30°

<u>To find:</u>

  • m∠RVU

<u>According to the properties described above, we have:</u>

  • TUR ≅ VUR
  • ∠RVU and ∠VUR are complementary

<u>It gives us:</u>

  • m∠RVU + m∠VUR = 90°
  • m∠RVU + 30° = 90°
  • m∠RVU = 60°
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