Question

question
given \\(\overline{rst}\\), use the protractor to measure \\(\angle rsu\\) and \\(\angle tsu\\). also determine the sum of two angle measurements.

move the protractor using the central blue dot.
rotate / scale the protractor using the green dot.
you may shift or zoom the canvas using your mouse.

image of angle \\(\angle rst\\) with point u and a protractor interface

Explanation:

Step1: Measure ∠RSU

Place the protractor's center (blue dot) on point \( S \), align one side of the protractor with \( \overline{RS} \), and read the angle between \( \overline{RS} \) and \( \overline{SU} \). Let's assume the measurement is \( 150^\circ \) (hypothetical, actual measurement requires using the protractor tool).

Step2: Measure ∠TSU

Align the protractor's center on \( S \), align one side with \( \overline{TS} \), and read the angle between \( \overline{TS} \) and \( \overline{SU} \). Since \( \overline{RS} \) and \( \overline{TS} \) are a straight line (\( 180^\circ \)), if \( \angle RSU = 150^\circ \), then \( \angle TSU = 180^\circ - 150^\circ = 30^\circ \) (or measure directly).

Step3: Sum the angles

Add the two angle measurements: \( 150^\circ + 30^\circ = 180^\circ \). (Note: Actual values depend on the protractor measurement, but the sum should be \( 180^\circ \) as \( RST \) is a straight line, so \( \angle RST = 180^\circ \), and \( \angle RSU + \angle TSU = \angle RST \).)

Answer:

The sum of \( \angle RSU \) and \( \angle TSU \) is \( 180^\circ \) (actual angle measures depend on protractor use, but their sum is \( 180^\circ \) as they form a linear pair).