Daniela began a plan for this proof. Since ∠1 and ∠2 are supplementary and ∠2 and ∠3 are supplementary, then m∠1+m∠2=180° and m∠2+m∠3=180°. If she can get m∠1 and m∠3 to both equal the same expression, she can use the transitive property of equality to set them equal to each other. How can Daniela get m∠1 and m∠3 to both equal the same expression?
A) Express both angles in terms of a common variable, such as x, and solve for x.
B) Use the fact that ∠1 + ∠2 = 180° and ∠2 + ∠3 = 180° to set up equations involving both angles and manipulate them to obtain expressions for both ∠1 and ∠3.
C) Utilize the properties of supplementary angles to establish relationships between ∠1, ∠2, and ∠3, allowing for the derivation of expressions equating ∠1 and ∠3.
D) Apply the properties of parallel lines and corresponding angles to create equations involving ∠1 and ∠3, thereby obtaining expressions that are equal for both angles.
