Question

A 45°angle is complementary to an angle measures ×°.Write an equation that represents this situation.

Answer 1

For this case we have two angles given 45 degrees and x degreed and are complementary so then we need to satisfy this property :

`45 +x = 90`

Since the condition is that the angles are complementary the sum of the angles needs to be 90 degrees.

If we solve for x from the equation above we got:

`x = 90-45= 45`

So then the measure for x for this case is 45 degrees and the expression required is:

`45 +x = 90`

Explanation:

For this case we have two angles given 45 degrees and x degreed and are complementary so then we need to satisfy this property :

`45 +x = 90`

Since the condition is that the angles are complementary the sum of the angles needs to be 90 degrees.

If we solve for x from the equation above we got:

`x = 90-45= 45`

So then the measure for x for this case is 45 degrees and the expression required is:

`45 +x = 90`

Answer 2

45° + x° = 90°

Explanation:

Two angles are complementary if the sum of the angles is equal to 90 degrees. we can also said that if we had two angles A and B and these angles are complementary, the equation that represent this situation is:

A + B = 90°

Then, if a 45°angle is complementary to an angle measures ×°, the equation that represents this situation is:

45° + x° = 90°

Therefore, solving for x°, we get:

45° + x° - 45° = 90° - 45°

x° = 45°

it means that a 45°angle is complementary to an angle measures 45°