In the given figure show that angle GPH = 1 right angle.
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Step-by-step explanation:
Let the angle at which the transversal intersects the lines be θ
\So, ∠BAD=θ,∠EBA=180−θ
OB bisects the ∠EBA and OA bisects the ∠BAD.
consider △AOB,∠BAO=
2
θ
∠OBA=
2
1
(180−θ)=90−
2
θ
∠BAO+∠OBA+∠BOA=180°
⟹90−
2
θ
+
2
θ
+∠AOB=180°
⟹∠AOB=90°
∴ the bisectors of internal angles on the same side of the transversal intersects at right angles.
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