Answered

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Given: angle E and angle F are supplementary. m angle E = (7x-12)°, m angle F = 116.5°
Find the measure of the complement of angle E.

Sagot :

BrotherGoku

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

sqdancefan

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°.

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