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Question

In the following fig. if AB=AC and BD=DC then ADC =
265572_4d065936bff244cf8d76d2608d8a1aee.png
  1. 600
  2. 1200
  3. 900
  4. None

A
600
B
900
C
None
D
1200
Solution
Verified by Toppr

In ABD and ACD
AB=AC (Given)
BD=DC (Given)
AD=AD (Common side)
ABDACD by SSS criteria.
Now corresponding angles of congruent triangles are equal
ADB=ADC
Now ADB+ADC=180 (Adjacent angles on staraight line)
ADC+ADC=1802ADC=180ADC=90

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