Question

In the figure below, lines r and s are parallel. What is the measure of angle three? Explain how you know.

Two parallel lines labeled s and r, intersected by a transversal. The angles of the first intersection are labeled one, two, three, ten x. The corresponding angles of the second intersection are labeled five, seven, six, four x plus forty-two.

Answer 1

Figure, you speak of?

Answer 2

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Answer 3

fig?

Answer 4

Figure,

Answer 5

@shaik0124 @FortyTheRapper

Answer 6

Corresponding angles of the two points of intersection are equal, so we have that angle 10x = angle 4x + 42, hence:

10x = 4x + 42
6x = 42
x = 7

so angle 10x = 10(7) = 70

When a line intersects a line, it produces adjacent angles which are supplementary (i.e., sum = 180)

So if angle 10x = 70 degrees, then angle 3 = 180 - 70 = 110 degrees.

Hope that helps.

Answer 7

Does this help you @adalrymple