Sure, let's solve this step by step:

1. Let's denote the angle as x. The complement of an angle is 90 degrees minus that angle. So, the complement of x is 90 - x.

2. According to the problem, the angle is five times its complement. So, we can write this as an equation: x = 5 * (90 - x).

3. Now, let's solve this equation. First, distribute the 5 to both terms inside the parentheses: x = 450 - 5x.

4. Next, add 5x to both sides of the equation to get all the x terms on one side: 6x = 450.

5. Finally, divide both sides by 6 to solve for x: x = 450 / 6 = 75.

So, the angle is 75 degrees.

Question

Sure, let's solve this step by step:

1. Let's denote the angle as x. The complement of an angle is 90 degrees minus that angle. So, the complement of x is 90 - x.

2. According to the problem, the angle is five times its complement. So, we can write this as an equation: x = 5 * (90 - x).

3. Now, let's solve this equation. First, distribute the 5 to both terms inside the parentheses: x = 450 - 5x.

4. Next, add 5x to both sides of the equation to get all the x terms on one side: 6x = 450.

5. Finally, divide both sides by 6 to solve for x: x = 450 / 6 = 75.

So, the angle is 75 degrees.

Knowee AI · Accepted Answer

Sure, let's solve this step by step:

1. Let's denote the angle as x. The complement of an angle is 90 degrees minus that angle. So, the complement of x is 90 - x.

2. According to the problem, the angle is five times its complement. So, we can write this as an equation: x = 5 * (90 - x).

3. Now, let's solve this equation. First, distribute the 5 to both terms inside the parentheses: x = 450 - 5x.

4. Next, add 5x to both sides of the equation to get all the x terms on one side: 6x = 450.

5. Finally, divide both sides by 6 to solve for x: x = 450 / 6 = 75.

So, the angle is 75 degrees.

An angle is five times its complement. Find the angle.