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Question

Construct ΔLMN such that LM = 6 cm, MN = 7 cm, and NL = 8 cm. Find the measure of L.

A
71°
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B
51°
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C
58°
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D
68°
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Solution

The correct option is C 58°
Steps of construction:
Step 1: Draw line segment LM = 6 cm.
Step 2: With L as centre, cut an arc of radius 8 cm.
Step 3: With M as centre, cut an arc of radius 7 cm.
Step 4: Mark the point of intersection of arcs drawn as N.
Step 5: Join L and N, and M and N.

From the above construction, measure the L using protractor.
L = 58°

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