Find the Alpha Angle in a Triangle with 90° and 100° Angles

Question

Find the measure of the angle $\alpha$

00:00 Find the value of A

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

00:06 Let's substitute appropriate values according to the given data and solve for A

00:12 Let's isolate A

00:17 A cannot be negative because it is an angle measure

00:20 Therefore the triangle is invalid and cannot be solved

00:23 And this is the solution to the question

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

Therefore, we will use the formula:

$A+B+C=180$

Let's input the known data:

$100+\alpha+90=180$

$190+\alpha=180$

$\alpha=180-190$

We should note that it's not possible to get a negative result, and therefore there is no solution.

There is no possibility of resolving