Question

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

Answer 1

Answer:

• m∠RVU = 60°

Step-by-step explanation:

Properties of the rhombus:

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

Given:

• m∠TUR = 30°

To find:

• m∠RVU

According to the properties described above, we have:

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

It gives us:

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

Answer 2

• STUV is a Rhombus
• We know that in a Rhombus diagonals bisect eachother at 90°.
• Diagonals are aslo bisectors of angles

So

$\\ \tt\hookrightarrow m<RVU=m<RUT=30°$