Answer:
<2 = 45
< 7 = 135
< 3 = 135
< 5 = 135
<8 = 45
< 6 = 45
Explanation:
Angles 2 and 7 are supplemental angles. This means that together they add to 180.
x + 3x = 180 Combine like terms
4x = 180 Divide both sides by 4
x = 45
<2 = 45
Angle 7
3x Substitute 45 for x
3(45)
135
Angle 3
Corresponding angle to 7. Corresponding angles are congruent (equal).
Angle 5
Vertical to angle 7. Vertical angles are congruent.
Angle 8
Alternate exterior angle to 7. Alternate exterior angels are congruent.
Angle 6
Vertical angle to 8. Vertical angles are congruent.