To find the value of ma, we first need to understand that vertical angles are equal. This means that the angles ma and mb have the same measure.
We are given that mb = 5x – 80. According to the properties of vertical angles, we can set ma = mb:
ma = 5x – 80
Now, we need to also define ma in terms of x. It seems that ma can be expressed as ma = x. Therefore, we can set up the equation:
x = 5x – 80
To solve for x, let’s rearrange the equation:
x – 5x = -80
-4x = -80
Dividing both sides by -4 gives us:
x = 20
Now that we have the value of x, we can find ma:
ma = x = 20
So, the measure of angle ma is 20 degrees.