In the figure below cef is an equilateral triangle. points b, c and e are collinear points a c f are collinear g =40 degrees and k=45 find angle h show all work

∠h is 80°

Step-by-step explanation:

Given: ΔCEF is an Equivalent Triangle

           ∠G = 40° and ∠k = 45°

To find: ∠h

we know that In equilateral triangle measure of all angles are 60°.

So, in ΔCEF

∠m = ∠n = ∠l = 60°

Vertically opposite angles are equal in measure

⇒ ∠i = ∠l = 60°

In ΔABC

∠g + ∠h + ∠i = 180° (Angle sum property)

40 + 60 + ∠h = 180

∠h = 180 - 100

∠h = 80°

Therefore, ∠h is 80°

42

step-by-step explanation: