Question

An angle is equal to four times its complement. Determine its measure​

Answer 1

Step-by-step explanation:

complement = (4x)°. We know that if the sum of two angles is equal to 90° then the angles are said to be complementary. complement = (4 × 18)° = 72°.

Answer 2

$\huge {\green {\sf {\underline {\underline {Answer}}}:-}}$

Let the measure of the given angle be x.

Complement of x = (90° h x)

It is given that, required angle = 4 × Complement of the angle

$x = 4 × (90° - x) \\ \\ →x = 360 °- 4x \\ \\ →x + 4x = 360 ° \\ \\→5x = 360 ° \\ \\ x = \frac{360 ° }{5} \\ \\ →x = 72°$

Hence, the measure of the given angle is 72°.

$\large\color{blue}{I \: hope \: it \: helps \: you.}$

$\huge\dag\sf\red{By \: Divyanshu}$