youusetofred
youusetofred youusetofred
  • 13-08-2021
  • Mathematics
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if M∠ ABD =64 and M∠CBD=30 then M∠ABC=
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if M ABD 64 and MCBD30 then MABC Need help class=

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xKelvin
xKelvin xKelvin
  • 13-08-2021

Answer:

[tex]\displaystyle m\angle ABC = 34^\circ[/tex]

Step-by-step explanation:

∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

[tex]\displaystyle m\angle ABD = m\angle ABC + m\angle CBD[/tex]

Substitute in known values:

[tex]\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)[/tex]

And subtract. Hence:

[tex]\displaystyle m\angle ABC = 34^\circ[/tex]

In conclusion, ∠ABC measures 34°.

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