Question

Guys pls solve this sum I will mark you as brainliest​

Answer 1

/_POQ=135°

Step-by-step explanation:

/_PAQ=45°

/_APO=/_AQO=90°

/_POQ+/_APO+/_AQO+/_POQ=360°

=>/_POQ=360°-(45°+90°+90°)

=>/_POQ=360°-225°

=>/_POQ=135°

Answer 2

Step-by-step explanation:

Given,

∠PAQ = 45°

Also in the figure it is shown that,

∠APO = 90°

∠AQO = 90°  

The figure APOQ becomes a quadrilateral where,

All the three angles are 45°, 90° and 90°

∴By the problem,

=> ∠PAQ + ∠APO + ∠AQO + ∠POQ = 360°   [∵Sum of all the angles fo a             quadrilateral is 360°]

=> 45° + 90° + 90° + ∠POQ = 360°

=> 225° + ∠POQ = 360°

=> ∠POQ = 360° - 225°

=> ∠POQ = 135°

Hence the fourth angle of the quadrilateral APOQ that is ∠POQ = 135° (Ans)