(a) Draw and label the line $P Q = 8 cm$ .
[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 $△ P Q R$ .
[2]

Answer

Expert–verified

Hide Steps

Answer

Construct the point where the rays of the angles at P and Q intersect, label it as R, and form the triangle $△ P Q R$ .

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 $△ P Q R$ .