Question

In △DEF, e=7, f=5, and m∠F=44º. What are the possible measures of ∠E, to the nearest degree? Select all that apply.

Answer 1

To find the possible measures of angle E in triangle DEF, subtract the given angle F from 180 degrees to get the sum of angles D and E. Angle D is the supplement of angle F, so it is also 136 degrees.

Therefore, angle E can be 44 degrees or 136 degrees.

Step-by-step explanation:

To find the possible measures of angle E in triangle DEF, we can use the fact that the angles in a triangle add up to 180 degrees.

Given that angle F is 44 degrees, we can subtract that from 180 to get the sum of angles D and E. So, 180 - 44 = 136 degrees.

Now, we know that angle D + angle E = 136. Since angle D is the supplement of angle F, which is 180 - 44 = 136 degrees, angle D must also be 136 degrees.

Therefore, the possible measures of angle E are 180 - 136 = 44 degrees or 136 degrees.