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You can represent the measures of an angle and its complement as x⁰ and (90-x)⁰. Similarly, you can represent the measures of an angle and its supplement as x⁰ and (180-x)⁰. Use these expressions to find the measures of the angles described.

14 .The measure of an angle is equal to the measure lf its complement.​

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[tex]\large \mathfrak{Solution : }[/tex]

From the above statement we can assume an angle and its complement as x and (90° - x)

now, it's goven that the angle and it's complement are equal, so

  • x = 90° - x

  • 2x = 90°

  • x = 45°

i hope it helped...

Let the angle be x

  • Its complement=90-x

ATQ

[tex]\\ \sf\longmapsto x=90-x[/tex]

[tex]\\ \sf\longmapsto x+x=90[/tex]

[tex]\\ \sf\longmapsto 2x=90[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{90}{2}[/tex]

[tex]\\ \sf\longmapsto x=45[/tex]

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