Question

find m∠c in the quadrilateral.
this figure is not drawn to scale.
m∠c = □° (type a whole number.)

Explanation:

Step1: Recall quadrilateral angle sum

The sum of interior angles in a quadrilateral is \(360^\circ\).

Step2: Identify known angles

\(\angle A = 90^\circ\), \(\angle D = 90^\circ\), \(\angle B = 121^\circ\). Let \(\angle C = x\).

Step3: Set up equation

\(90 + 90 + 121 + x = 360\)

Step4: Solve for x

\(301 + x = 360\)
\(x = 360 - 301 = 59\)

Answer:

\(59\)