Question

In ACDE, DE = 14, EC = 16, and CD = 6. Which statement about the angles of ACDE must be true? OmZD > mZC > mZE OmZE > mZC > m D OmZE > mZD > mZC OmZC > mZE > mZD OmZC > m D > mZE mZD > mZE > mZC

Answer 1

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Here, given the measures of the dimensions of the triangle CDE, we want to select which of the options must be true

Firstly, what we have to understand is that the higher the measure of the side of a triangle, the greater the angle facing it will be

From what we have, the angle facing EC will be the biggest, followed by DE and then lastly CD

Let us have a diagrammatic representation of the triangle to aid our selection;

As we can see from the diagrammatic representation above, angle D will be the largest, followed by angle C and then lastly angle E

So, we can now make our choice of correct option

As we can see, option A is the correct answer as it shows the proper arrangement of the magnitude of the angles