In a figure one complementary angle has a measure of 36 degree and the other has a measure of (x-3) what is the value of x and the value of the unknown angle measure

Answer 1

Let's solve for the value of x first.

Complementary angles add up to 90 degrees.

The given angle measures 36 degrees, so the other angle measures (90 - 36) = 54 degrees.

We are told that this other angle also measures (x - 3) degrees.

Setting up an equation to solve for x, we have:

x - 3 = 54

Adding 3 to both sides:

x = 57

So the value of x is 57.

Now we can find the measure of the unknown angle:

x - 3 = 57 - 3 = 54

So the unknown angle has a measure of 54 degrees.