Answer:
m[tex]\angle[/tex]F = 34°
Step-by-step explanation:
If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°
To find m[tex]\angle[/tex]F add m[tex]\angle[/tex]E and m[tex]\angle[/tex] F and equate it to 90 to find x then substitute it into the expression for m[tex]\angle[/tex]F
Thats
m[tex]\angle[/tex]E + m[tex]\angle[/tex]F = 90
[tex]\rarr[/tex] 9x - 38 + 2x + 40 = 90
[tex]\rarr[/tex] 11x + 2 = 90
[tex]\rarr[/tex] 11x = 90 - 2
[tex]\rarr[/tex] 11x = 88
Divide both sides by 11
x = 8
Now we have
if m [tex]\angle[/tex]F = 9x - 38
m[tex]\angle[/tex] F = 9( 8) - 38
m[tex]\angle[/tex]F = 72 - 38
We have the final answer as
m[tex]\angle[/tex]F = 34°
Hope this helps you
