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 x differs from its complement by 10 degrees. This can be written as an equation: x = (90 - x) + 10.

3. Simplify the equation: x = 100 - x.

4. To solve for x, add x to both sides of the equation to get: 2x = 100.

5. Finally, divide both sides of the equation by 2 to solve for x: x = 100 / 2 = 50.

So, the angle is 50 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 x differs from its complement by 10 degrees. This can be written as an equation: x = (90 - x) + 10.

3. Simplify the equation: x = 100 - x.

4. To solve for x, add x to both sides of the equation to get: 2x = 100.

5. Finally, divide both sides of the equation by 2 to solve for x: x = 100 / 2 = 50.

So, the angle is 50 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 x differs from its complement by 10 degrees. This can be written as an equation: x = (90 - x) + 10.

3. Simplify the equation: x = 100 - x.

4. To solve for x, add x to both sides of the equation to get: 2x = 100.

5. Finally, divide both sides of the equation by 2 to solve for x: x = 100 / 2 = 50.

So, the angle is 50 degrees.

If an angle differs from it’s complement by 10଴, find the angle.