Question

PQRS is a rhombus, where ∠RQS = 47°. Find the following angles: (i) ∠PSQ (ii) ∠SRQ (iii) ∠SPR

Answer 1

Answer:

(i) ∠PSQ

∠RQS = 47°

THEN RQS = PQS

SO 47 = 47

THEN ∠PSQ= 47°

(ii) ∠PQS + ∠PSQ + ∠SPQ = 180°

47° + 47° + ∠SPQ = 180°

∠SPQ = 180° - 94°

∠ SPQ= 86°

∠SPQ = ∠SRQ (ARE ON OPPOSITE SIDE)

SO, ∠SRQ = 86°

(iii) ∠SPR = 1/2 OF ∠SPQ

∠SPR = 86/2

∠SPR = 43°

Step-by-step explanation: