. The ratio of Richa's salary to Padma's salary was 4:5. Then Richa got an increment of 5% and
Padma borrowed that increased amount from her at the rate of 8% simple interest yearly. If
Padma's salary is 40000 per month, find the amount that Padma will have to return to Richa
after 1 year.
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Given: AB || CD and AD || BC
To Prove: ∠ADC = ∠ABC
Proof: Since AB || CD and AD is a transversal. So sum of consecutive interior angles is 180o.
⇒ ∠BAD + ∠ADC = 180o ….(i)
Also, AD || BC and AB is transversal.
So, ∠BAD + ∠ABC = 180o ….(ii)
From (i) and (ii) we get:
∠BAD + ∠ADC = ∠BAD + ∠ABC
⇒ ∠ADC = ∠ABC (Proved)
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