In a triangle, if one angle is 90 degrees and the other two angles are equal, wh

Practice Questions

Q1
In a triangle, if one angle is 90 degrees and the other two angles are equal, what is the measure of each of the equal angles?
  1. 30 degrees
  2. 45 degrees
  3. 60 degrees
  4. 75 degrees

Questions & Step-by-Step Solutions

In a triangle, if one angle is 90 degrees and the other two angles are equal, what is the measure of each of the equal angles?
  • Step 1: Understand that a triangle has three angles.
  • Step 2: Know that the total sum of the angles in a triangle is always 180 degrees.
  • Step 3: Identify that one angle in the triangle is 90 degrees (this is a right angle).
  • Step 4: Since one angle is 90 degrees, subtract this from 180 degrees to find the sum of the other two angles: 180 - 90 = 90 degrees.
  • Step 5: Recognize that the other two angles are equal, so we can call them both 'x'.
  • Step 6: Set up the equation: x + x = 90 degrees (because the two angles are equal).
  • Step 7: Simplify the equation: 2x = 90 degrees.
  • Step 8: Divide both sides of the equation by 2 to find the value of x: x = 90 / 2 = 45 degrees.
  • Step 9: Conclude that each of the equal angles measures 45 degrees.
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