Triangle Angle Calculation: Finding α When Given 49.6° and 38°

Question

Find the measure of the angle $\alpha$

00:00 Find value A

00:03 Sum of angles in a triangle equals 180

00:06 Substitute appropriate values according to the given data and solve for A

00:10 Collect terms

00:18 Isolate A

00:24 And this is the solution to the question

Let's remember that the sum of angles in a triangle is equal to 180 degrees.

Therefore, we will use the following formula:

$A+B+C=180$

Now let's input the known data:

$\alpha+49.6+38=180$

$\alpha+87.6=180$

We'll move the term to the other side and keep the appropriate sign:

$\alpha=180-87.6$

$\alpha=92.4$

92.4