(a) Draw and label the line \( P Q=8 \mathrm{~cm} \).
[2]
(b) Using a pair of compasses and a ruler only, construct an angle of \( 60^{\circ} \) at \( P \).
[3]
(c) Draw an angle of \( 40^{\circ} \) at \( Q \).
\( [1] \)
(d) Complete and label the diagram to form \( \triangle P Q R \).
[2]

Answer

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Answer

Construct the point where the rays of the angles at P and Q intersect, label it as R, and form the triangle \( \triangle PQR \).

Steps

Step 1 ：Draw a line segment PQ of length 8 cm.

Step 2 ：With P as the center, draw a 60-degree angle using a pair of compasses.

Step 3 ：With Q as the center, draw a 40-degree angle using a protractor.

Step 4 ：Construct the point where the rays of the angles at P and Q intersect, label it as R, and form the triangle \( \triangle PQR \).