Question

Find the value of x in each case:
L, M ∈ KN

Answer 1

hey guys depending on where you answer it if it is online please please please don't forget to add the degrees mark

Explanation:

This is the right answer

Answer 2

x = 27

Explanation:

From the picture attached,

m∠PLM + m∠PLK = 180° [Linear pair of angles are supplementary]

m∠PLM + 3x = 180°

m∠PLM = 180° - 3x

Similarly, m∠PML + m∠PMN = 180° [Linear pair of angles]

m∠PML + (2x + 72)° = 180°

m∠PML = 180° - (2x + 72)°

From triangle PLM.

m∠PLM + m∠PML + m∠LPM = 180° [Sum of interior angles of a triangle = 180°]

(180 - 3x) + 180 - (2x + 72) + x = 180

180 - 3x - 2x - 72 + x = 0

-4x + 108 = 0

x =
`(108)/(4)`

x = 27