Question

Four straight lines k, l, m, and n intersect as shown in

the diagram. Lines k and n are perpendicular. Find x.
A 23°
B 28°
C 53°
D55°

Answer 1

Answer: 28

Explanation:

First gather all the numbers and equal it to 180.

55+x+2x-49+90=180

Then combine like terms you get

3x=84

Then divide 3 from 3x and 84 you get x=28

Answer 2

28

Explanation:

2x-49 is opposite to an angle in line m

taking only line m

55+x+2x-49+90 = 180

3x = 84

x = 28