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m∠a=(48−x)°m∠b=(9x−38)°m∠c=90°

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Sagot :

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Answer:

Option C:

  • m∠a = 38°
  • m∠b = 52°
  • m∠c = 90°

Step-by-step explanation:

Hello!

The sum of all angles in a triangle is 180°.

Add up all the angles and solve for x by setting the equation to 180°.

Solve for x

  • ∠a + ∠b + ∠c = 180°
  • (48 - x)° + (9x - 38)° + 90° = 180°
  • 10° + 8x + 90° = 180°
  • 8x = 180° - 90° - 10°
  • 8x = 80°
  • x = 10°

Now that we solved for x, we can plug it back into each equation to solve for each angle.

Angle A

  • 48° - x
  • 48° - 10°
  • 38°

Angle B

  • 9x - 38°
  • 9(10°) - 38°
  • 90° - 38°
  • 52°

Angle C

  • 90°

The answer is Option C:

  • m∠a = 38°
  • m∠b = 52°
  • m∠c = 90°
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