Question:

In Fig, ∠ ABC = 69°, ∠ ACB = 31°, find ∠ BDC.

ABC = 69°, ∠ ACB = 31°, find ∠ BDC.

Updated On: Sep 15, 2024
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Solution and Explanation

ΔABC,

∠ABC = ∠ACB + ∠BAC = 180°  6

9 + 31 + ∠BAC = 180  

100 + ∠BAC = 180  

∠BAC = 180 – 100  

∠BAC = 80° 

∠BAC and ∠BDC are angles in same segment.  These are equal.

∠BDC = ∠BAC = 80°  

∴ ∠BDC = 80°

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