Question

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

measurements of E, F? (solve for x first.)

Answer 1

`m\angle E = 20\degree \\</p><p>m\angle F = 50\degree`

Explanation:

Let the common multiplier of the given ratios be x.

`\therefore m\angle E = 2x\\</p><p>\& \: m\angle F = 5x \\</p><p>\because m\angle E + m\angle F = 70\degree \\</p><p>\therefore 2x + 5x = 70\degree \\</p><p>\therefore 7x = 70\degree \\</p><p>\therefore x = (70\degree)/(7)\\</p><p>\therefore x = 10\degree \\</p><p>\implies m\angle E = 2x= 2* 10\degree = 20\degree \\</p><p>\& \: m\angle F = 5x=5* 10\degree = 50\degree \\`

Answer 2

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