Question

1
in the quadrilateral PORS, it is given that:
R
a. PS
b. o R
c. P+S 1200
d. R+ S 180°
Р
S
e. P+ 20 = 180°
A
Find P, ZQ, ZR and S.​

Answer 1

Answer:

The two pairs of adjacent sides are equal, i.e., PS = PQ and SR = RQ In ΔPSQ, ∠PSQ =∠PQS = 180°−70°2=110°2180°−70°2=110°2 = 55° ∴ ∠QSR = 90.5° – 55° = 35.5° ⇒ ∠RQS = ∠QSR = 35.5° (∵RQ = RS) In ΔSRQ, ∠R +∠RQS +∠QSR = 180° ⇒ ∠R + 35.5° + 35.5° = 180°.