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Q9. ∠ABD : ∠ACD = 1 : 1 ; Q10. m∠AOB = 40°
Step-by-step explanation:
Q9.
ΔABC is isosceles Δ ⇒ ∠ABC ≅ ∠ACB
ΔBDC is isosceles Δ ⇒ ∠DBC ≅ ∠DCB
∠ABD = ∠ABC - ∠DBC
∠ACD = ∠ACB - ∠DCB
∠ABD ≅ ∠ACD
∠ABD : ∠ACD = 1 : 1
Q10.
ABCD is a parallelogram and its diagonals are perpendicular and intersect at O. ⇒ ΔAOB, ΔCOB, ΔCOD and ΔAOD are right angled Δs. ⇒ m∠OAB = 90° - 50° = 40°
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