Question

find the value of y.

Explanation:

Step1: Observe angle - sum relationship

The sum of angles around a point is 360°. So, \(x + 90+90+(5y + 5)+y = 360\).

Step2: Combine like - terms

\(x + 180+6y + 5 = 360\). Assume \(x = 0\) (not given, but to solve for \(y\) based on available info). Then \(6y+185 = 360\).

Step3: Solve for \(y\)

\(6y=360 - 185\), \(6y = 175\), \(y=\frac{175}{6}\approx29.17\).

Answer:

\(\frac{175}{6}\)