Answer:
∠E = 40°
Step-by-step explanation:
The sum of interior angles in any polygon can be calculated using the following rule:
sum of interior angles = (n-2)*180
where n is the number of sides.
Now, a quadrilateral has 4 sides, this means that:
sum of interior angles = (4-2)*180 = 360°
Based on the above:
∠C + ∠D + ∠E + ∠F = 180
We are given that:
∠C = 60°
∠D = ∠E = ∠F
Therefore:
60 + 3*∠E = 180
3 * ∠E = 120°
∠E = 120/3 = 40°
Hope this helps :)