PQRS is a cyclic quadrilateral. If ∠P is three times of ∠R and ∠S is four times of ∠Q,
then the sum of ∠S + ∠R will be:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 189°
GIvent that
PQRS is a cyclic quadrilateral. If ∠P is three times of ∠R and ∠S is four times of ∠Q,
As we know that
∠P + ∠R = 180º
3∠R + ∠R = 180º
∠R = 45º
∠Q + ∠S = 180º
∠Q + 4 ∠Q = 180º
5 ∠Q = 180º
∠Q = 36º
∠S = 4* 36 = 144º
As we know
∠S + ∠R = 144º + 45º = 189º