Question

8. In figure 2.28, line PS is a transversal of parallel line AB and line CD. If Ray OX, ray OY, ray RX, ray RY are angle bisectors, then prove that O OXRY is a rectangle Fig. 2.28 23​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Given: line AB || line CD Rays QX, RX, QY, RY are the bisectors of ∠AQR, ∠QRC, ∠BQR and ∠QRD respectively. To prove: □QXRY is a rectangle. Proof: ∠XQA = ∠XQR = x° ……(i) [Ray QX bisects ∠AQR] ∠YQR = ∠YQB =y° …….(ii) [Ray QY bisects ∠BQR] ∠XRQ = ∠XRC = u° …….. (iii) [Ray RX bisects ∠CRQ] ∠YRQ = ∠YRD = v° ……(iv) [Ray RY bisects ∠DRQ] line AB || line CD and line PS is their transversal.Read