Question

In ABC ,LA : LB : LC = 5:7:8 . Find the measure of each angle of ∆ABC​

Answer 1

Answer:

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Step-by-step explanation:

∠A:∠B:∠C:∠D=1:2:3:4

So, let ∠A=x,∠B=2x,∠C=3x,∠D=4x

Therefore, by angle sum property of quadrilateral,

x+2x+3x+4x=360

10x=360

x=36

o

Hence,

∠A=36

o

,∠B=72

o

,∠C=108

o

,∠D=144

o

.