Question

what is the measure of angle s?
48°
56°
93°
101°
(figure: quadrilateral qrst with ∠q = 56°, ∠r = 132°, ∠t = 79°)

Explanation:

Step1: Recall quadrilateral angle sum

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

Step2: Sum known angles

Let the angles be \( \angle Q = 56^\circ \), \( \angle R = 132^\circ \), \( \angle T = 79^\circ \), and \( \angle S = x \).
Sum of known angles: \( 56 + 132 + 79 = 267^\circ \).

Step3: Solve for \( \angle S \)

Using \( 56 + 132 + 79 + x = 360 \),
\( x = 360 - 267 = 93^\circ \).

Answer:

\( 93^\circ \) (corresponding to the option with \( 93^\circ \))