Answer :
Answer:
26.5
Step-by-step explanation:
Supplementary angles are angles that sum up to 180*. Complementary angles are angles that sum up to 90*. So to complement of E, you need to know what is angle E, which is given by the formula 7x-12. Knowing that E and F are supplementary, it means that E + F = 180. So to find E, solve for x then solve for angle E.
E + F = 180
7x-12+116.5 = 180
7x + 104.5 = 180
7x = 180-104.5
7x = 75.5
x = 10.786
<E = 7(10.786) - 12 = 63.502*
Now complement of E means E + angle x = 90
E + x = 90
63.502 + x = 90
x = 90-63.502
x = 26.5
Answer:
26.5°
Step-by-step explanation:
You want the measure of the complement of angle E when angles E and F are supplementary and angle F is 116.5°.
Complementary
Angles are supplementary when their sum is 180°.
E +F = 180°
E = 180° -F
Angles are complementary when their sum is 90°.
complement of E = 90° -E
complement of E = 90° -(180° -F) = F -90°
For the given value of angle F, this tells us ...
complement of E = 116.5° -90° = 26.5°
The complement of angle E is 26.5°.
