Question

find the unknown angle measure. drawing is not to scale. $x = $ question help: video message instructor calculator

Explanation:

Step1: Recall angle - sum property of a quadrilateral

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

Step2: Set up an equation

We know the angles of the quadrilateral are \(x\), 100°, 44°, and 90° (the right - angle). So, \(x + 100+44 + 90=360\).

Step3: Simplify the left - hand side of the equation

\(x+(100 + 44+90)=x + 234\). So, \(x + 234=360\).

Step4: Solve for \(x\)

Subtract 234 from both sides of the equation: \(x=360 - 234\).
\(x = 126\)

Answer:

126