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ohaa [14]
3 years ago
11

How is this solved?

Mathematics
1 answer:
Illusion [34]3 years ago
7 0
The sum of the two interior angles is equal to the exterior angle.
So angle F + angle E is equals to angle MDE (which is the angle outside)
So, F + E = MDE

(5x + 10) + 50 = 12x + 11

5x + 60= 12x + 11 (I combined like terms)
5x + 49 = 12x (I subtracted 11 from both sides)
49 = 7x (I subtracted 5x from both sides)
7 = x (I divide both sides by 7)

Since we are looking for angle F, we replace x for 7 in 5x + 10
So, 5 (7) + 10 = 45
35 + 10 = 45

I hope this helps.
YOU'RE WELCOME :D
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<h3>Answers :-</h3>
  • sinB = 12/13
  • cosB = 5/13
  • tanB = 12/5

Here as by the given information ,

♦ sinA = Opposite/Hypotenuse

♦ cosA = Adjacent/Hypotenuse

♦ TanA = Opposite/adjacent

So here we need to find the same for angle B so we need to use the same formulas for angle B also .

→ sinB = Opposite/Hypotenuse = 12/13

→ cosB = Adjacent/Hypotenuse = 5/13

→ tanB = Opposite/Adjacent = 12/5

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