Answer:
DE = 31 in
Explanation:
The sum of angles of a triangle is 180
This means that:
measure angle D + measure angle E + measure angle F = 180
43 + 62 + measure angle F = 180
measure angle F = 75 degrees
To answer this question, we will use the sine rule (attached in the image)
In case of triangle DEF, the sine rule that we will use will be as follows:
[tex] \frac{sin D}{EF} [/tex] = [tex] \frac{sin F}{DE} [/tex]
We have:
measure angle D = 43 degrees
EF = 22 in
measure angle F = 75 degrees
DE is the length we want to find
Substitute in the above formula to get DE as follows:
[tex] \frac{sin 43}{22} [/tex] = [tex] \frac{sin 75}{DE} [/tex]
DE = 31.1 which is approximately 31 in
Hope this helps :)
