Question

What is the measure of U

Answer 1

48

Explanation:

All interior angles of a triangle add up to 180.

`(x+21)+(x+23)+(x+61)=180`

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

`(x+21)+(x+23)+(x+61)=180\\x+21+x+23+x+61=180\\3x+105=180\\3x=75`

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

`(3x)/(3)=(75)/(3)\\ x=25`

Then add 25 to 23 which is 48.

Answer 2

U = 48

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