Is there any more to the question than this?
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
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Answer:
85
Step-by-step explanation:
think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :
77^2 + 36^2 = c^2
7225 = c^2
c = 85
<span> -3x^2 y +4x
</span><span> =-3(-4)^2 (2) + 4(-4)
=-96-16
=-112</span>
