For a regular hexagon, the interior angles are 120°, since they add up to 720 (180(6 - 2))
We also know, for a regular hexagon, all sides are equal.
Refer to my diagram.
Triangle AFE is an isosceles triangle, because two sides of the triangle are equal in a regular hexagon.
Thus, 120 + 2x = 180 (angle sum of triangle)
2x = 60 and x = 30
Now, ∠FEA = 30°, but we know that ∠FED is 120° (all interior angles of a regular hexagon is 120°)
We know that ∠FED = ∠FEA + ∠AED
120° = 30° + ∠AED
∴ ∠AED = 90° (120 - 30)
If ∠AED is 90°, then, by definition, AE ⊥ ED
An infinite number of solutions since the right side is equal the left side for every value of x.
BHF= 106
HGD=106
EGD = 74
EGC= 106
May be wrong but hope this helped!
Answer:
1/5
Step-by-step explanation:
Slope formula = (y2-y1)/(x2-x1)
((-6)- (-9))/ ((9)-(-6)
(-6 + 9)/ (9 + 6)
3/15
1/5