chris200614
chris200614 chris200614
  • 16-07-2021
  • Mathematics
contestada

If m angle KNM = (8x - 5)° and m angle MNJ = (4x - 19)° , find the measure of angle KNM. ​

If m angle KNM 8x 5 and m angle MNJ 4x 19 find the measure of angle KNM class=

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Leora03
Leora03 Leora03
  • 16-07-2021

Answer:

131°

Step-by-step explanation:

Since KNJ is a straight line,

∡KNM +∡MNJ= 180° (adj. ∡s on a str. line)

(8x -5)° +(4x -19)°= 180°

Simplify:

12x -24= 180

+24 on both sides:

12x= 180 +24

12x= 204

Divide both sides by 12:

x= 204 ÷12

x= 17

∡KNM

= (8x -5)°

= [8(17) -5]°

= (136 -5)°

= 131°

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