Question

Join Q and S in the adjoining figure and prove that ZP + ZQ + ZR+ ZS = 360°.​

Answer 1

Step-by-step explanation:

Construction Join QS

PROOF => PQS and RQS are triangle

therefore angle P + PQS + PSQ = 180 -(i) ( ANGLE SUM PROPERTY)

SIMILARLY ANGLE R + RQS + RSQ = 180 -(ii)

On adding i & ii

ANGLE P + R + RQS + RSQ + PQS + PSQ = 360

ANGLE RQS + PQS = ANGLE Q

ANGLE RSQ + PSQ = ANGLE S

therefore ANGLE P + Q + R + S = 360 HENCE PROVED

I HOPE THIS WILL BE HELPFUL