Question

If M∠ ABD =64 and M∠CBD=30 then M∠ABC= Need help

Answer 1

Answer:

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

Step-by-step 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°.