dogloverqueen12359 dogloverqueen12359

24-04-2022
Mathematics

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adaish18 adaish18

24-04-2022

Answer:

m∠ABC=42°

Step-by-step explanation:

m∠ABD=70°

⇒m∠ABD=m∠ABC+m∠CBD

⇒70°=(3x+33°)+(5x+13°)

70°=8x+46°

70°-46°=8x

24°=8x⇒x=3°

x=3°

Then,

m∠ABC=3x+33°

put x=3°, we get

m∠ABC=3×3°+33°=9°+33°

m∠ABC=42°

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