Question

The angle which is four times its complement is

Answer 1

Answer:

Step-by-step explanation:

Let the angle be x

Complement angle will be (90 - x)

x = 4 (90 - x)

x = 360 - 4x

5x = 360

x = 360/5 = 72

Angle is 72 degree

Answer 2

Answer:

72°

Step-by-step explanation:

• let the angle be x
• angle is 4 times its complement = 4 × x
• sum of complementary angles = 90°

$x + 4x = {90}^{o} \\ 5x = {90}^{o} \\ x = \frac{90}{5} \\ x = {18}^{o}$

angle is 4 times = 4 × 18° = 72°