Question

If M∠ ABD =64 and M∠CBD=30 then M∠ABC=
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Answer 1

`\displaystyle m\angle ABC = 34^\circ`

Explanation:

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

`\displaystyle m\angle ABD = m\angle ABC + m\angle CBD`

Substitute in known values:

`\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)`

And subtract. Hence:

`\displaystyle m\angle ABC = 34^\circ`

In conclusion, ∠ABC measures 34°.