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

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step-by-step explanation: