Question 162
If PQRS is a rhombus and $$\angle$$SPQ = 50°, then $$\angle$$RSQ is
Solution
Given : $$\angle$$SPQ = 50°
To find : $$\angle$$RSQ = ?
Solution : All sides of a rhombus are equal.
In $$\triangle$$PQS, PQ = PS, => $$\angle$$SPQ = $$\angle$$PQS
=> $$\angle$$PSQ = $$\frac{180^{\circ}-50^{\circ}}{2}$$
=> $$\angle$$PSQ = 65°
Also, diagonals of a rhombus are angle bisectors i.e. $$\angle$$PSQ = $$\angle$$RSQ
=> $$\angle$$RSQ = 65°
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