Question

Construct $\Delta$LMN such that LM = 6 cm, MN = 7 cm, and NL = 8 cm. Find the measure of $\angle L$.

• A. 71°
• B. 51°
• C. 58°
• D. 68°

Answer 1

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 $\angle L$ using protractor.
$\angle L$ = 58°