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Question

In the given figure, BD = AD and DC = AC, If ABC=35, then x___.


  1. 30

  2. 35

  3. 40

  4. 45


Solution

The correct option is C

40


In Δ ABD––––––––––

(i) AD = BD ...(given)

(ii) DBA=BAD=35... (base angles of an isosceles Δ)

(iii) ADC=70... (exterior angle theorem)

In Δ ADC––––––––––

(iv) DC = AC...(given)

(v) CDA=DAC=70... (base angles of an isosceles Δ)

(vi) ACD=180(70+70)... (Sum of LS of a Δ)

=180140

= 40

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