Question

(c) 21x + 8 15x 19x - 13

Explanation:

Step1: Use the sum of angles around a point

The sum of angles around a point is \(360^{\circ}\). Here, we have \(21x + 8+15x+90 + 19x-13=360\).

Step2: Combine like terms

Combine the \(x\) - terms and the constant terms: \((21x+15x + 19x)+(8 - 13+90)=360\).
So, \(55x+85 = 360\).

Step3: Solve for \(x\)

Subtract \(85\) from both sides: \(55x=360 - 85\).
\(55x=275\).
Divide both sides by \(55\): \(x=\frac{275}{55}\).
\(x = 5\).

Answer:

\(x = 5\)