Find m∠T if m∠T is 20 more than four times its supplement.

To find the measure of angle T, we can set up an equation using the information given.

Let's assume the measure of angle T is "x".

The supplement of angle T is 180 - x, as the sum of an angle and its supplement is 180 degrees.

According to the information given, we know that "x" is 20 more than four times its supplement.

So we can write the equation as follows:

x = 4(180 - x) + 20

Now let's solve this equation to find the measure of angle T.

x = 720 - 4x + 20

Combining like terms, we get:

5x = 740

Dividing both sides of the equation by 5, we have:

x = 148

Therefore, the measure of angle T is 148 degrees.