The measure of <1 = 20x + 21 and the measure of <2 = 30x - 29.
a. Write an equation to determine the measures of both angles
b. Determine the measures of both angles Show your work.

Both equal 121 degrees

Step-by-step explanation:

Vertical angles are equal, and  and 2 are indeed vertical angles.  They are the "top" and "bottom" of the x formed.  So you can use this.

angle 1 = angle 2

20x + 21 = 30x - 29

50 = 10x

5 = x

So just plug this in.

20x + 21

20(5) + 21

121

30x - 29

30(5) - 29

121

So both are 121.

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5