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Solve for a in the given right-angled triangle with angles a, 3a, and 90 degrees.

Mathematics

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The image shows a right-angled triangle. The sum of angles in a triangle is 180∘180^\circ. One angle is indicated as 90∘90^\circ by the square symbol. The other two angles are aa and 3a3a.

  1. Set up the equation for the sum of the angles in the triangle.

    a+3a+90∘=180∘a + 3a + 90^\circ = 180^\circ
  2. Combine the terms with aa.

    4a+90∘=180∘4a + 90^\circ = 180^\circ
  3. Subtract 90∘90^\circ from both sides of the

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