Question

I need help please sorry it’s like that a camera and a screen don’t work good together

Answer 1

The value of x = 20.05

Explanation:

As we know that the sum of the angles in a triangle is 180°.

From the diagram, we can say that the sum of the angles A, B, and C must be 180°.

so the equation of the sum of the angles of a triangle will be:

`A+B+C=180^(\circ )`

As

`A=43(1)/(4)^(\circ )`

`B=5x^(\circ )`

`C^(\circ )=36.5^(\circ )`

Substituting the values in the equation of the sum of the angles of a triangle to find the value of x.

`A+B+C=180^(\circ )`

`43(1)/(4)+5x+36.5=180`

`(173)/(4)+5x+36.5=180` ∵
`43(1)/(4)=(173)/(4)`

Subtract
`(173)/(4)+36.5` from both sides

`(173)/(4)+5x+36.5-\left((173)/(4)+36.5\right)=180-\left((173)/(4)+36.5\right)`

`5x=100.25`

`(5x)/(5)=(100.25)/(5)`

`x=20.05`

Therefore, the value of x = 20.05

VERIFICATION:

`A+B+C=180^(\circ )`

`43(1)/(4)+5x+36.5=180`

`43(1)/(4)+5\left(20.05\right)+36.5=180`

`180=180`