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apologiabiology
complentary angles add to 90 degrees
so
5x+4x-18=90
9x-18=90
add 18 both sides
9x=108
divide both sides by 9
x=12

5x is one angle
5x=5(12)=60 degrees

the other one is 4x-18
4x-18=4(12)-18=48-18=30

the angles are 60 degrees and 30 degrees
and x=12 degree
anuksha0456

The measure of the complementary angles (5x)° and (4x−18)° are 60° and 30° respectively.

What are complementary angles?

Complementary angles are a pair of angles whose sum is always equal to 90°.

If A and B are complementary angles, then A + B = 90°.

How to solve the given question?

In the question, we are asked to find the measure of each angle, given that the angles (5x)° and (4x - 18)° are complementary angles.

As we know that these angles are complementary, we can write the equation to solve for x as,

5x + (4x - 18) = 90

or, 5x + 4x - 18 = 90

or, 9x = 90 + 18 = 108

or, x = 108/9 = 12.

Therefore, the value of these angles are:

  • (5x)° = (5*12)° = 60°.
  • (4x - 18)° = (4*12 - 18)° = (48 - 18)° = 30°.

Therefore, the measure of the complementary angles (5x)° and (4x−18)° are 60° and 30° respectively.

Learn more about the complementary angles at

https://brainly.com/question/16281260

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