Question

Given m
|| n, find the value of x.
m
n
126°
(8x+6)

Answer 1

6

Explanation:

since m is parallel to n, they both also have the same angles at the intersection with the crossing line.

the total angle on one side of a line is simply a half circle = 180 degrees (the angle of flipping over from laying flat in one direction of the line to laying flat in the other direction of the line).

so, the two angles of m with the intersecting line are

126 degrees and

(8x + 6) degrees.

and their sun must be 180.

126 + (8x+6) = 180

132 + 8x = 180

8x = 48

x = 6

Answer 2

Corresponding angles are equal, so 8x+6 = 126. Thus, x = 15.

Parallel lines are two lines that never intersect, no matter how far they are extended. When two lines are parallel, corresponding angles are congruent. This means that if two angles are opposite each other on parallel lines, they have the same measure.

In the image you provided, lines m and n are parallel. This means that the angle marked 126° is also equal to the angle marked 8x+6°.

To find the value of x, we can set up a proportion:

8x+6 = 126

Subtracting 6 from both sides, we get:

8x = 120

Dividing both sides by 8, we get:

x = 15

Therefore, the value of x is 15.