Question

finding missing angles

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°.

Step2: Set up the equation

Let the unknown angle be \(x\). We have \(80 + 90+x + 90=360\).

Step3: Simplify the left - hand side

\(80+90 + 90+x=260 + x\).

Step4: Solve for \(x\)

\(260+x = 360\), so \(x=360 - 260\).
\(x = 100\).

Answer:

100