Question

In a triangal ABC, if 2LA = 3LB = 6LC, then find the measure of LA.
pls do in step by step.​

Answer 1

Answer:

According to the condition in the △ABC, 2∠LA=3∠LB=6∠LC

⇒∠LA=3∠LC and, ∠LB=2∠LC

Sum of interior angles of the triangle is 180o

Hence ∠LA+∠LB+∠LC=180o

⇒3∠LC+2∠LC+∠LC=180o

⇒∠LC=30o

∴∠LA=900,∠LB=60o,∠LC=30o