Using the two parallel line theorems we proved that ∠8 ≅ ∠4.
In the given question,
Given: f || g
Prove: ∠8 ≅ ∠4
We using given diagram in proving that ∠8 ≅ ∠4
Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So
∠8≅∠6
Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."
∠6≅∠4
Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."
∠8 ≅ ∠4
Hence, we proved that ∠8 ≅ ∠4.
To learn more about parallel line theorems link is here
brainly.com/question/27033529
#SPJ1
Answer:
audrey_111506
Step-by-step explanation:
Answer:
The correct option is;
r = √(x² + y²)
θ = tan⁻¹(y/x)
Step-by-step explanation:
The rectangular coordinate of a complex number on the complex plane is given as (x, y)
Given that the complex number is represented by a point on the plane, we have;
The distance, r, of the point from the origin, (0, 0) is r = √(x² + y²)
The direction, θ, by which we rotate to be in line with the point on the complex number is given by tan⁻¹(y/x)
