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Veseljchak [2.6K]
2 years ago
10

Angles E and Fare in ration 2:5. If the sum of E+F=70, What are the

Mathematics
2 answers:
mixas84 [53]2 years ago
4 0

Answer:

m\angle E = 20\degree \\m\angle F = 50\degree

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

\therefore m\angle E = 2x\\\&  \: m\angle F = 5x \\\because m\angle E + m\angle F = 70\degree \\\therefore 2x + 5x = 70\degree \\\therefore 7x = 70\degree \\\therefore x = \frac{70\degree}{7}\\\therefore x = 10\degree \\\implies m\angle E = 2x= 2\times 10\degree = 20\degree \\\& \:  m\angle F = 5x=5\times 10\degree = 50\degree \\

LenKa [72]2 years ago
3 0

Answer:

E is equal to 20 and F is equal to 50. 20(E)+50(F)=70

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