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

Answer

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Answer

4. Extend lines from steps 2 and 3 to intersect at point R, forming triangle PQR.

Steps

Step 1 ：1. Draw line segment PQ with length 8 cm.

Step 2 ：2. Place compass point on P, draw an arc and use ruler to bisect the arc twice to create an angle of 60° at P.

Step 3 ：3. Place compass point on Q, draw an arc, and use ruler to bisect the arc until an angle of 40° at Q is formed.

Step 4 ：4. Extend lines from steps 2 and 3 to intersect at point R, forming triangle PQR.