Question

What are the numerical measures of each angle

in the diagram?
<1and <3 measure
degrees
<2 and <4 measure
degrees.
(3x - 1)
1
3
2
(2x + 9)

Answer 1

angle 1 and 3 are equal by vertically opp. angle

3x-1 = 2x +9

3x-2x = 9+1

x = 10

put the value of x in any equation

3(10)-1 = 29

angle 1 = angle 3 = 29

angle 2 + angle 3 = 180 ° (linear pair)

angle 2 = 180 -29

angle 2 = 149

angle = angle 3 = 149.

Hope it helps