X = 27 54 61 i need help, someone please explain

The measure of ∠x=27°

Step-by-step explanation:

Given the figure  

we have to find the value of x  

As the arc AC is 68° i.e m arc(AC)=68°

By theorem, the angle subtended at the centre is twice the angle subtended at the circumference of circle i.e

m arc(AC)=2∠ABC

As ∠BED=61°

∠AEB and ∠BED forms a linear pair therefore their sum adds up to 180°

∠AEB + ∠BED=180°

∠AEB =180°-61°=119°

In ΔAEB, by angle sum property

∠BAE+∠ABE+∠AEB=180°

x+34°+119°=180°

x=180°-34°-119°=27°

Hence, the measure of ∠x=27°

Option a is correct

Step-by-step explanation:

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.