Find Angle α in Triangle ABC: Given Angles 27.7° and 41°

Question

Find the size of angle $\alpha$ .

00:00 Find value A

00:03 The sum of angles in a triangle equals 180

00:07 Substitute appropriate values according to the given data and solve for A

00:10 Collect terms

00:14 Isolate A

00:23 And this is the solution to the problem

Note that the sum of the angles in a triangle is equal to 180 degrees.

Therefore, we can use the formula:

$A+B+C=180$

Then we will substitute in the known data:

$\alpha+27.7+41=180$

$\alpha+68.7=180$

Finally, we will move the variable to the other side while maintaining the appropriate sign:

$\alpha=180-68.7$

$\alpha=111.3$

111.3