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alberto draws a triangle with one 90° angle. what could be the measures if the other two angles in the triangle​

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AGBOIIGO

QUESTION

alberto draws a triangle with one 90° angle. What could be the measures if the other two angles in the triangle.

SOLUTION

Sum of the interior angle of a triangle is 180°

  • Sn = 180(n-2)
  • S(3) = 180(3-2)
  • S(3) = 180 (1)
  • S(3) = 180°

Creating an equation to the problem:

Let x = the other angle

y = the other angle

90° = given angle

Now, Keep in mind the if we add the three angles the sum should always be 180°

x + y + 90° = 180°

x + y = 180° - 90°

x + y = 90°

Let me share the two special right triangles:

  • 45°,45°,90°
  • 30°,60°,90°

ANSWER

  • Possible range of the two angles are x+y = 90° or when the two angles are added the sum should be 90°

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