PQRS is a rhombus with angle PQR = 58.Determine angle PRS
Given a rhombus PQRS in which ∠PQR = 58°.
Now, rhombus is also a kind of parallelogram.
∴ opposite angles of a rhombus are also equal.
⇒∠PSR = ∠PQR = 58°
Again, in triangle PSR, PS = RS [All sides of a rhombus are equal]
⇒∠SPR = ∠PRS
By angle sum property of triangle, we have
∠SPR + ∠PRS + ∠PSR = 180°
⇒ 2∠PRS + 58° = 180°
⇒ 2∠PRS = 122°
⇒ ∠PRS = 61°