Question

Lines A and B are parallelA1/23/125°B5/67/8m 6 = [ ?] ​

Answer 1

Answer:   55

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The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.

Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.

x+125 = 180

x = 180-125

x = 55

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Or you could approach it this way:

y = measure of angle 2

y+125 = 180

y = 55

angle 6 = angle 2 (corresponding angles)

angle 6 = 55 degrees

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Yet another way you could solve:

z = measure of angle 3

z+125 = 180

z = 55

angle 6 = angle 3 (alternate interior angles)

angle 6 = 55 degrees

A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55