Question

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

Answer 1

Answer:

The value of x = 20.05

Step-by-step 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

$A=43\frac{1}{4}^{\circ }$

$B=5x^{\circ }$

$C^{\circ }=36.5^{\circ }$

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

$A+B+C=180^{\circ }$

$43\frac{1}{4}+5x+36.5=180$

$\frac{173}{4}+5x+36.5=180$             ∵ $43\frac{1}{4}=\frac{173}{4}$

Subtract $\frac{173}{4}+36.5$ from both sides

$\frac{173}{4}+5x+36.5-\left(\frac{173}{4}+36.5\right)=180-\left(\frac{173}{4}+36.5\right)$

$5x=100.25$

$\frac{5x}{5}=\frac{100.25}{5}$

$x=20.05$

Therefore, the value of x = 20.05

VERIFICATION:

$A+B+C=180^{\circ }$

$43\frac{1}{4}+5x+36.5=180$

$43\frac{1}{4}+5\left(20.05\right)+36.5=180$

$180=180$