Question

what is the measure of angle d?
52°
54°
57°
126°

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

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

Step2: Set up the equation

Let \(\angle D = x\). Then \(x+128^{\circ}+126^{\circ}+54^{\circ}=360^{\circ}\).

Step3: Simplify the left - hand side of the equation

\(x+(128 + 126+54)^{\circ}=360^{\circ}\), \(x + 308^{\circ}=360^{\circ}\).

Step4: Solve for \(x\)

Subtract \(308^{\circ}\) from both sides: \(x=360^{\circ}-308^{\circ}\), \(x = 52^{\circ}\).

Answer:

\(52^{\circ}\)