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Use the diagram to answer the question. Triangle D E F. Segments E F and D F measure 11 units. Angle F is a right angle. © 2019 StrongMind. Created using GeoGebra. What is the measure of ∠E?

Use the diagram to answer the question Triangle D E F Segments E F and D F measure 11 units Angle F is a right angle 2019 StrongMind Created using GeoGebra What class=

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akposevictor

Answer:

m<E = 45

Step-by-step explanation:

We are given a right angled triangle DEF, with 2 sides of equal length 11 units. We are required to find <E.

To know which trigonometric ratio formula to apply, note the following:

Opposite side = adjacent side = 11 units.

Therefore, we use the following to find <E:

[tex] tan E = \frac{opposite}{adjacent} = \frac{11}{11} [/tex]

[tex] tan E = 1 [/tex]

[tex]E = tan^{-1}(1)[/tex]

[tex] E = 45 [/tex]

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