Question

L ACB=31° then find L BDC.
2.24. In the given fig. IF L ABC=69°
L
BDC

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Answer 1

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☃ ƛƝƧƜЄƦ ☃

$∠ABC = 69°, ∠ACB = 31°   [Given]$

$In ΔABC$

$∠ABC + ∠ACB + ∠BAC = 180°$

$⇒ ∠BAC  = 180° - ∠ABC - ∠ACB$

$⇒ ∠BAC  = 180° -  69° - 31° = 80°$

$∠BDC = ∠BAC  ( Angle \: \: drawn \: \: from \: \: same \: \: chord)$

$∴ ∠BDC = 80°$

$I hope it helps you ^_^$

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Answer 2

answer is in attachment