SOLUTION: The m < D is supplementary to the m < E, the m < F is supplementary to the m < E. If m < F= 113, what is the m<D and the M < E

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Question 1203644: The m < D is supplementary to the m < E, the m < F is supplementary to the m < E.
If m < F= 113, what is the m

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


To clarify the vocabulary a bit.... The measures of the angles are not supplementary -- the angles are supplementary.

Two angles are supplementary if the sum of their angle measures is 180 degrees.

If angle F is 113 degrees and it is supplementary to angle E, then angle E is 180-113 = 67 degrees.

Then since angle D is supplementary to angle E, the measure of angle D is 180-67 = 113 degrees.

ANSWERS: angle D is 113 degrees; angle E is 67 degrees


Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.

To learn about supplementary angles,  read the lessons
    - Angles basics
    - Vertical angles
    - HOW TO solve problems on supplementary, complementary or vertical angles - Examples
    - Solved problems on supplementary and complementary angles
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