Question

9. In the figure given below, find angle POQ. ​

Answer 1

60°

Step-by-step explanation:

sum of all angles of a quadrilateral is 360°

angle POQ+ 120°+90°+90°=360°

angle POQ + 300°=360°

angle POQ= 360°-300°

hence angle POQ=60°

Answer 2

Step-by-step explanation:

In the Quadrilateral BOAC,

Angle C = 120°

Angle CBO =90° [ given]

Angle OAC = 90°[given]

Then,

C + angle CBO + angle OAC + angle BOA = 360°

120 + 90 + 90 + angle BOA = 360°

angle BOA = 360° - 300°

angle BOA = 60°

i.e angle POQ = 60°

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