Question

Find the sum of angle 1 , angle 2, angle 3, angle 4, angle 5, angle 6, angle 7, Angle 8, and angle 9 in the adjoining figure

Answer 1

Answer:

540

Step-by-step explanation:

The figure has three triangles(constituent)

Thus, using angle sum property of a triangle

1+2+3=180

4+5+6=180

7+8+9=180

Thus adding all of these gives 540 degrees

Answer 2

Answer:

∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 + ∠7 + ∠8 + ∠9 = 540°

Step-by-step explanation:

Given problem

Find the sum of angle 1 , angle 2, angle 3, angle 4, angle 5, angle 6, angle 7, Angle 8, and angle 9 in the adjoining figure

from adjoining figure

AED, ABD BCD are three triangles  

we know that sum 3 angles in a triangle = 180

=> in Δ AED =  ∠1 + ∠2 + ∠3 = 180 _ (1)

=> in Δ ABD = ∠4 + ∠5 + ∠6 = 180 _ (2)

=> in Δ BCD = ∠7 + ∠8 + ∠9 = 180 _ (3)  

now add (1) (2) and (3)

  ∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 + ∠7 + ∠8 + ∠9 = 180° + 180° + 180°

  ∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 + ∠7 + ∠8 + ∠9 = 540°