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Question
Construct △XYZ such that XY = 6 cm, ∠X= 30°, and ∠Y=100°. Find the length of YZ. [4 Marks]
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Solution
Steps of construction:
Step 1: Draw line segment XY = 6 cm.
Step 2: At X, construct ∠X = 30° (using a protractor).
Step 3: At Y, construct ∠Y = 100° (using a protractor).
Step 4: Mark the intersection point as Z.
[1 Mark]
[2 Marks]
From the above construction, measure the length of YZ using ruler.
YZ = 3.9 cm [1 Mark]
Step 1: Draw line segment XY = 6 cm.
Step 2: At X, construct ∠X = 30° (using a protractor).
Step 3: At Y, construct ∠Y = 100° (using a protractor).
Step 4: Mark the intersection point as Z.
[1 Mark]
[2 Marks]From the above construction, measure the length of YZ using ruler.
YZ = 3.9 cm [1 Mark]
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