Nadia draws a portion of a figure, as shown. She wants to construct a line segment through R that makes the same angle with line segment QR as line segment PQ.

A line segment QR is drawn. PQ is a line segment that makes an obtuse angle of about 120 degrees with QR. An arc, indicating the measure of angle PQR intersects PQ at S and QR at T. Another arc drawn from point R is a reflection of the first but of the same measure and intersects QR. A compass with its ends at points S and T is shown.

Question

Nadia draws a portion of a figure, as shown. She wants to construct a line segment through R that makes the same angle with line segment QR as line segment PQ.

A line segment QR is drawn. PQ is a line segment that makes an obtuse angle of about 120 degrees with QR. An arc, indicating the measure of angle PQR intersects PQ at S and QR at T. Another arc drawn from point R is a reflection of the first but of the same measure and intersects QR. A compass with its ends at points S and T is shown.

sachintha · Answer

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