Given that lines a and b are parallel, what angles formed on line a when cut by the transversal are congruent with ∠6?
a) ∠1 and ∠2
b) ∠1 and ∠4
c) ∠2 and ∠3
d) ∠2 and ∠4

Angle ∠6 will be the same magnitude =equal to angle ∠2 and angle ∠3

When parallel lines get crossed by a transversal some angles will be formed (which have the same magnitude = equal)) :

Corresponding Angles: The angles on the same corners

Alternate Interior Angles: Alternate sides of the Transversal, and on the Interior of the two crossed lines.

Alternate Exterior Angles: on the outer side of each of the two lines and on the opposite side of the transversal.

Then in the picture above:

Corresponding Angles: angles ∠1 & ∠5, ∠2 & ∠6, ∠3 & ∠7,∠4 & ∠8

Alternate Interior Angles: angles ∠4 & ∠5 and ∠3 & ∠6

Alternate Exterior Angles: angles ∠1 & ∠8, and ∠2 & ∠7

So that the angle ∠6 will be the same as the angle ∠2 (Corresponding Angles) and ∠3 (Alternate Interior Angles)

the steps for constructing a copy of an angle

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the angle x whose radians measure is given

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Keywords: Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, a transversal

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: