What is the measure of U

U = 48

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x+21 + x+23 + x+61 = 180

Combine like terms

3x + 105 = 180

Subtract 105 from each side

3x+105-105 = 180-105

3x = 75

Divide by 3

3x/3 = 75/3

x = 25

We want angle u

x+23

25+23

48

48

Step-by-step explanation:

All interior angles of a triangle add up to 180.

If you wanted to you could subtract 21, 23, and 61 from 180.

Then take then number that's left and divide it by three, since they are all in addition to the same variable.

Then add 25 to 23 which is 48.