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10 grade maths

If two complementary angles differ by 12°, then what will be the value of the angles?

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11 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer11 Months ago

To find the two complementary angles that differ by 12°, we can set up a simple equation. Complementary angles add up to 90°. Let's denote the smaller angle as x. Therefore, the larger angle can be expressed as x + 12°.

Setting Up the Equation

Since these angles are complementary, we can write the equation:

x + (x + 12°) = 90°

Simplifying the Equation

Combining like terms gives us:

2x + 12° = 90°

Solving for x

Next, we subtract 12° from both sides:

2x = 78°

Now, divide by 2:

x = 39°

Finding Both Angles

Now that we have the smaller angle, we can find the larger angle:

39° + 12° = 51°

Final Values

  • Smaller angle: 39°
  • Larger angle: 51°

Thus, the two complementary angles are 39° and 51°.

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