Question

12. Line m Line n

Determine the value of x in this illustration. Round to the nearest tenth if necessary;
12.7
11.2
16.2
8.0

Answer 1

16.2

Explanation:

again, parallel lines have the same intersection angles with an intersecting line.

the angles on one side of an intersected line are the same as on the other side but they are left-right mirrored.

the sum of all angles around a single point (like an intersection point) on one side of a line is always 180°.

therefore the angle 8x-3 is the same as the right or below neighbor angles of 3x+5.

and together they must be 180°.

so,

(8x - 3) + (3x + 5) = 180

11x + 2 = 180

11x = 178

x = 178/11 = 16.18181818... ≈ 16.2