Question

FIND THE VALUE OF X
PLS GUVE ALL THE STEPS

Answer 1

Answer:

27

Step-by-step explanation:

let the sum three angles in a triangle be 180°

∴,(3x-17)+(x+40)+(2x-5)=180

6x+18=180

6x=180-18

6x=162

x=162/6

x=27

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Answer 2

Answer:

x = 27°

Step-by-step explanation:

Consider ΔMNO,

(3x - 17°) + (x + 40°) + (2x - 5°) = 180°

(Interior angles sum property of a triangle equals to 180°)

3x - 17° + x + 40° + 2x - 5° = 180°

6x + 18° = 180°

6x = 180° - 18° = 162°

∴ x = $\frac{162}{6}$ = 27°

_________

Verification:

3x - 17° + x + 40° + 2x - 5° = 180° (Interior angles sum property of a triangle)

3(27°) - 17° + 27° + 40° +2(27°) - 5° =180°

81 - 17 + 27° + 40° + 54° - 5° = 180°

180° = 180°

∴LHS = RHS, hence verified.

Therefore the value of x is 27°