Question

Construct $△$ XYZ such that XY $=8$ cm, $\angle$X $={40}^{\circ }$, and $\angle$Y $={95}^{\circ }$. Find the length of YZ.
[3 marks]

Answer 1

Steps of construction:
Step 1: Draw line segment XY $=8$ cm.
Step 2: At X, construct $\angle$PXY $={40}^{\circ }$.
Step 3: At Y, construct ∠XYQ $={95}^{\circ }$.
Step 4: Mark the point of intersection of XP and YQ as Z.
[1 mark]


[1 mark]

From the above construction, measure the length of YZ using ruler.
YZ $=7.3$ cm
[1 mark]