Question

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.​

Answer 1

$\large \mathfrak{Solution : }$

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...

Answer 2

Let the angle be x

• Its complement=90-x

ATQ

$\\ \sf\longmapsto x=90-x$

$\\ \sf\longmapsto x+x=90$

$\\ \sf\longmapsto 2x=90$

$\\ \sf\longmapsto x=\dfrac{90}{2}$

$\\ \sf\longmapsto x=45$