In a figure, one complementary angle has a measure of 36° 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

Since the two angles are complementary, their measures add up to 90°.

Let the unknown angle measure be y°.

We know that the measure of one complementary angle is 36°.

Therefore, we can write the equation:

36° + y° = 90°

Subtracting 36° from both sides of the equation, we have:

y° = 90° - 36°

y° = 54°

So, the value of the unknown angle measure is 54°.

Now, we can set the other angle measure, (x-3)°, equal to 36°.

x - 3 = 36

Adding 3 to both sides of the equation, we have:

x = 36 + 3

x = 39

Therefore, the value of x is 39°.

So, the value of the unknown angle measure is 54° and the value of x is 39°.

Answer 2

are u sure?

Answer 3

I apologize for any confusion in my previous response.

If one complementary angle has a measure of 36°, and the other has a measure of (x-3)°, we can set up the equation:

36° + (x-3)° = 90°

Now, let's solve for x:

36° + x - 3° = 90°

Combining like terms, we have:

x + 33° = 90°

Subtracting 33° from both sides, we get:

x = 90° - 33°

x = 57°

Therefore, the value of x is 57°.

To find the value of the unknown angle measure, we substitute the value of x back into the expression (x-3)°:

(x-3)° = (57-3)°

(x-3)° = 54°

So, the value of the unknown angle measure is 54° and the value of x is 57°.