Answer:
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.
X=3; you can set up a proportion using the slope equation. So (y[sub2]-y[sub1])/(x[sub2]-x[sub1])=2/1 then plug in the values and simplify. Then cross multiply and solve for x. Rest of work shown in the picture
The reciprocal of -13/7 should be -7/13