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Question
Construct ∆XYZ such that XY = 8 cm, ∠X = 40°, and ∠Y = 95°. Find the length of YZ. [2 Marks]
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Solution
Steps of construction:
Step 1: Draw line segment XY = 8 cm. [0.5 mark]
Step 2: At X, construct ∠PXY = 40°. [0.5 mark]
Step 3: At Y, construct ∠XYQ = 95°. [0.5 mark]
Step 4: Mark the point of intersection of XP and YQ as Z.
From the above construction, measure the length of YZ using ruler.
YZ = 7.3 cm [0.5 mark]
Step 1: Draw line segment XY = 8 cm. [0.5 mark]
Step 2: At X, construct ∠PXY = 40°. [0.5 mark]
Step 3: At Y, construct ∠XYQ = 95°. [0.5 mark]
Step 4: Mark the point of intersection of XP and YQ as Z.
From the above construction, measure the length of YZ using ruler.
YZ = 7.3 cm [0.5 mark]
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