Question

The complement of an angle is 10ᵒ more than thrice the angle itself. Find the angle. a) 40 degree. b) 20 degree. c) 70 degree. d) 30 degree

Answer 1

Let's call the angle we're trying to find "x" degrees. According to the problem, the complement of the angle (90 degrees minus the angle) is 10 degrees more than thrice the angle. So, we can write an equation:

Complement = 90 - x
Complement = 3x + 10

Now, we can set these two expressions equal to each other:

90 - x = 3x + 10

First, let's isolate "x" on one side of the equation:

90 - 10 = 3x + x
80 = 4x

Now, divide both sides by 4 to solve for "x":

(x = {80}/{4} = 20)

So, the angle is 20 degrees.

The correct answer is b) 20 degrees.