Makkkyy6
Makkkyy6 Makkkyy6
  • 24-01-2018
  • Mathematics
contestada

What is the value of x if the acute angles of a right triangle measure 8x and 12x?

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Americ
Americ Americ
  • 24-01-2018
A triangle equals 180°. A right triangle has a 90° angle. So the other two angles added together will also need to equal 90°.

8x + 12x= 90°
20x= 90°
Divide both sides by 20.
x= 4.5°

Then plug in the answer for x into the other two angles.

8x=
8(4.5)= 36°

12x=
12(4.5)= 54°

Check your answer:
8x + 12x= 90°
36° + 54°= 90°
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