Question

An angle measures 18° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Hey there!

Complementary angles add up to 90 degrees.

We are given that

An angle measures 18° more than its complementary angle.

Let the unknown angle be x.

Set up an equation:

x+x+18=90°

Add the x's:

2x+18=90

Subtract 18 from both sides:

2x=90-18

2x=72

Divide both sides by 2:

x=36

Add 18:

x=54

Is it correct?

Let's check by adding the angles together; they should add up to 90 degrees.

36+54=90✓

Hence, the angles are

`\boxed{\boxed{\bold{36\;and\;54~degrees}}}`

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

`\tt{An~amiable~teen~here}`

Answer 2

36 and 54

Explanation:

A complementary angle is an angle at 90*.

So, if one angle+another angle+18=90*, we can solve it like this:

90-18=72

72/2=36

The first measure is 36, and the second is 36+18, or 54.

36 and 54 equal 90. This works!