Question

1. find the value of x in the quadrilateral.

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a quadrilateral is 360°.

Step2: Set up equation

Let the unknown angle be \(x\). We have \(x + 90^{\circ}+72^{\circ}+112^{\circ}=360^{\circ}\).

Step3: Simplify the left - hand side

\(x+(90 + 72+112)^{\circ}=x + 274^{\circ}\).

Step4: Solve for \(x\)

\(x=360^{\circ}-274^{\circ}\).
\(x = 86^{\circ}\)

Answer:

\(86\)