Question

this is only explanation but not a profe​

Answer 1

Answer:

what are you trying to say??

Answer 2

Answer:

"

The number of sides of the given polygon is n =6, so it's a hexagon (Hexagon has 6 sides). Thus, the sum of the interior angles of this polygon is:180(n-2)º= 180(6-2)= 180 × 4 = 720°

We know that the sum of all the interior angles in this polygon is equal to 720°. The sum of all the angles of the given polygon is:

∠A + ∠B + ∠C + ∠D + ∠E + ∠F= (x - 60) + (x - 20) + 110 + 120 + 130 + (x - 40)= 3x+ 240

Now we set this sum equal to 720 and solve it for x

Now we set this sum equal to 720 and solve it for x3x+ 240 = 720

Now we set this sum equal to 720 and solve it for x3x+ 240 = 7203x = 480

Now we set this sum equal to 720 and solve it for x3x+ 240 = 7203x = 480x = 480/3 = 160

We have to find ∠B

We have to find ∠B∠B = (x - 20)° = (160 - 20)° = 140°

We have to find ∠B∠B = (x - 20)° = (160 - 20)° = 140°Therefore, The interior angle at vertex B is ∠B = 140°."