Respuesta :

Answer:

<1 =33

<2 = 147

<4 = 147

Step-by-step explanation:

Angle 1 equals angle 3 because they are vertical angles.  Vertical angles are opposite angles made by two intersecting lines.

<1 = <3

<1 = 33

Angle 2 and <3 are supplementary angles because they form a straight line.  The add to 180 degrees

<2 + <3 = 180  

<2 + 33 = 180

Subtract 33 from each side

<2 +33-33 = 180-33

<2 = 147

Angle 2 equals angle 4 because they are vertical angles

<2 = <4

<4 = 147