Please help! Doing online because of pandemic! For line b, d, and e, line d is parallel to line e, and m∠1 = 81°.
Part A: In complete sentences, explain the relationships between all pairs of special angles 1, 2, 3, and 4 created by transversal line b and parallel lines d and e.
Part B: For the given diagram, use the measure of the special angle relationships created by transversal line b and parallel lines d and e to find the measures of ∠2, ∠3, and ∠4.

ART A:  Angles 1 and 4 are Corresponding Angles.  Angles 1 and 3 are Vertical Angles.  Angles 1 and 2 are Adjacent Supplementary Angles.  Angles 2 and 3 are also Adjacent Supplementary Angles.  Angles 3 and 4 are Opposite Interior Angles.  

PART B:  

<2=99 °

<3=81 °

<4=99 °

Step-by-step explanation:

PART A:  Angles 1 and 4 are Corresponding Angles.  Angles 1 and 3 are Vertical Angles.  Angles 1 and 2 are Adjacent Supplementary Angles.  Angles 2 and 3 are also Adjacent Supplementary Angles.  Angles 3 and 4 are Opposite Interior Angles.  

PART B:  

<2=99 °

<3=81 °

<4=99 °

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752