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

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=(90)/(2)`

`\\ \sf\longmapsto x=45`

Answer 2

`\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...