1. (03.01 LC) Carlos draws a transversal, t, on two parallel lines AB and CD, as shown below:
2
B
4
में
He makes the following table to prove that the alternate interior angles are equal:
Statement
Justification
angle 1 = angle 5 Corresponding angles of parallel lines are congruent.
angle 1 = angle 3 ?

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

ask the math teacher she or he would know lol.

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: