Find the value of x and y and each labeled angle

2x = 80

2x - 15 = 65

y = 80

3x - 20 = 100

Step-by-step explanation:

The first thing to do is find x from 2x and 3x  - 20. Any other first step won't work.

These two angles are supplementary. Supplementary angles always total 180 degrees.

3x - 20 + 2x = 180             Combine like terms

5x -20 = 180                      Add 20 to both sides.

5x - 20 + 20 = 180 + 20    Combine left side

5x = 180 + 20                     Combine right side

5x = 200                             Divide by 5

5x/5 = 200/5

x = 40

Givens

The lines are parallel

3x - 20 and 2x are supplementary

Alternate angles are equal so y = 2x

Solution

2x = 2*40 = 80

y = 80

3x  - 20 = 3*40 - 20 = 120 - 20 = 100

2x - 15 = 2*40 - 15 = 80 - 15 = 65

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column