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Question Number 189965 by 073 last updated on 25/Mar/23

Answered by som(math1967) last updated on 25/Mar/23

α=32+78=110

α=32+78=110

Commented by 073 last updated on 25/Mar/23

why?

why?

Commented by mnjuly1970 last updated on 25/Mar/23

  C_( 1)  + C_2 =180      C_( 1)  +78= 180

C1+C2=180C1+78=180

Commented by JDamian last updated on 25/Mar/23

Which C? there are 2 points named C in the diagram

Answered by horsebrand11 last updated on 25/Mar/23

∡D+∡B=180°  ∡B=180°−(78°+32°)  ∡D=α=180°−(180°−(110°)))  ∡D=α=110°

D+B=180°B=180°(78°+32°)D=α=180°(180°(110°)))D=α=110°

Answered by HeferH last updated on 26/Mar/23

Commented by HeferH last updated on 26/Mar/23

ABCD is cyclic⇒∠ DCB = 102°  ∠DCB is external angle of triangle with side  DC ⇒  α =110°

ABCDiscyclicDCB=102°DCBisexternalangleoftrianglewithsideDCα=110°

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