using a ruler and a pair of compass only construct a quadrilateral PQRS, given that PQ=5 CM, angle PQS=30 degree, angle QPS=105 degree, PR=9 cm and RS=RQ.measure angle QRS and RS -

you can easily construct a 60° angle, so 30° and 15° are also easy. So, since 90+15=105, that also comes easily.

So, lay out the given sides, construct the necessary angles, and take the necessary measurement. It might help to calculate it as well as a check.

Helpppp this is crazy

Teach me the step anyone that knows

My math teacher is so hard to comprehend I don't understand math again like before. Teach me some one helllpppp!!!!!

To construct the quadrilateral PQRS using a ruler and a pair of compass, follow these steps:

1. Draw a line segment PQ of 5 cm using the ruler.
2. At point P, draw an angle of 30 degrees using the compass. Mark the intersection point as S.
3. At point Q, draw an angle of 105 degrees using the compass. Mark the intersection point as R.
4. Draw a line segment PR of 9 cm using the ruler.
5. Set the compass to the length of RQ (which is already measured as RS). From point R, draw an arc intersecting line segment PR. Mark the intersection point as S.
6. Connect points S and R with a straight line segment to complete the quadrilateral PQRS.

To measure angle QRS and length RS, follow these steps:

1. Take a protractor and place it on your construction with the center of the protractor aligned with point R.
2. Locate the ray RS and measure the angle between RS and QR. This will give you the measurement of angle QRS.
3. To measure length RS, use a ruler and measure the straight line distance from point R to point S on your construction.