Find Angle α in a Triangle with Given 50° Angle

Question

Find the measure of the angle α \alpha

505050AAABBBCCC50

Video Solution

Solution Steps

00:00 Find value A
00:03 Sum of angles in a triangle equals 180
00:07 Substitute appropriate values according to the given data and solve for A
00:10 Group terms
00:15 Isolate A
00:18 And this is the solution to the question

Step-by-Step Solution

Recall that the sum of angles in a triangle equals 180 degrees.

Therefore, we will use the following formula:

A+B+C=180 A+B+C=180

Now let's insert the known data:

α+50+50=180 \alpha+50+50=180

α+100=180 \alpha+100=180

We will simplify the expression and keep the appropriate sign:

α=180100 \alpha=180-100

α=80 \alpha=80

Answer

80