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10 grade maths

Find the angle which is equal to its complement:

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

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ApprovedApproved Tutor Answer1 Year ago

To find the angle that is equal to its complement, we first need to understand what a complement is. The complement of an angle is what, when added to that angle, equals 90 degrees.

Setting Up the Equation

Let’s denote the angle as x. The equation for the complement can be expressed as:

  • x + complement = 90 degrees
  • Since the angle is equal to its complement, we can write: x + x = 90

Solving the Equation

Now, we can simplify the equation:

  • 2x = 90
  • To find x, divide both sides by 2:
  • x = 45 degrees

Final Answer

The angle that is equal to its complement is 45 degrees.