$$ \ln riangle A B C, m \angle A=73^{\circ} ; m \angle B=41^{\circ} $$ What is $$ m \angle C $$ ? Enter your answer in the box.

Question

$$ \ln 	riangle A B C, m \angle A=73^{\circ} ; m \angle B=41^{\circ} $$ What is $$ m \angle C $$ ? Enter your answer in the box.

UpStudy AI · Accepted Answer

To find the measure of angle $$ C $$ in triangle $$ ABC $$, we can use the fact that the sum of the angles in any triangle is always $$ 180^\circ $$.

Given:
- $$ m \angle A = 73^\circ $$
- $$ m \angle B = 41^\circ $$

We can set up the equation:

$$
m \angle A + m \angle B + m \angle C = 180^\circ
$$

Substituting the known values:

$$
73^\circ + 41^\circ + m \angle C = 180^\circ
$$

Now, we can calculate $$ m \angle C $$:

$$
m \angle C = 180^\circ - (73^\circ + 41^\circ)
$$

Calculating the sum of $$ 73^\circ $$ and $$ 41^\circ $$:

$$
73^\circ + 41^\circ = 114^\circ
$$

Now substituting back:

$$
m \angle C = 180^\circ - 114^\circ = 66^\circ
$$

Thus, the measure of angle $$ C $$ is:

$$
\boxed{66^\circ}
$$
$$ m \angle C = 66^\circ $$

\( \ln \triangle A B C, m \angle A=73^{\circ} ; m \angle B=41^{\circ} \) What is \( m \angle C \) ? Enter your answer in the box.