Pls solve it Q 9 Calculate the angles marked with small letters in the full diagrams - Maths - Understanding Quadrilaterals

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Pls solve it
Q 9 Calculate the angles marked with small letters in the full
diagrams

Neha Sethi · Accepted Answer

Dear student
Figure 2)Clearly,∠DXC=∠AXY=112°    [Vertically opposite angle]Also, diagonal of square bisect ∠A,∠B,∠C and ∠DSo, ∠XAB=∠A2=90°2=45°In quadrilateral XYBA,by angle sum property of quadrilateral∠AXY+∠XAB+∠B+∠XYB=360°⇒112°+45°+90°+∠XYB=360°⇒∠XYB=113°Also,∠XYB+∠XYC=180°   [Linear pair]⇒113°+a=180°⇒a=67°
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Pls solve it Q.9. Calculate the angles marked with small letters in the full diagrams

Pls solve it
Q.9. Calculate the angles marked with small letters in the full diagrams