Find Measurement m<E please hurry

Mathematics

2 answers:

kobusy [5.1K]3 years ago

7 0

Answer:
∠E = 40°

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 :)

ZanzabumX [31]3 years ago

7 0

The total angles in a quadrilateral should add up to 180

180-60=120

Since they all have one line, the other three angles are the same so

120/3= 40

So angle E is 40 degrees

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