Answer:
<1 = 30
<2= 41
<3 = 96
Step-by-step explanation:
Angle 1 ,66 and 84 form a triangle and triangles add to 180 degrees
<1 + 66 + 84 = 180
Combine like terms
<1 +150 = 180
Subtract 150 from each side
<1 + 150 -150 = 180-150
<1 = 30
Angle 3 and 84 form a straight line. A straight line is 180 degrees.
<3 + 84 =180
Subtract 84 from each side
<3 +84-84 = 180 - 84
<3 = 96
<2 , <3 and 43 form a triangle which adds to 180 degrees,
<2 + <3 + 43 = 180
We have already found <3 to equal 96 degrees
<2 + 96+43 = 180
Combine like terms
<2 +139=180
Subtract 139 from each side.
<2 +130-139 = 180-139
<2 = 41
