Question

What is the measure of angle x?

Answer 1

See below:

Explanation:

Hello! My name is Galaxy and I will be helping you today!

We can solve this problem in two steps, one being comprehension and another being solving. I'll start off with comprehension.

Comprehension

We can start to solve this problem by looking at it.

We can see that there is a right angle, therefore the angles that are in it are Complementary (Add up to 90).

That means that 30+3x=90.

We can now begin solving.

Solving

We can start solving by setting up an equation.

`30+3x=90`

We can do this because we know due to the law of complementary angles that 30 and 3x MUST equal to 90.

`3x=60\\x=20`

We can do basic algebra, we can find out that x is equal to 20 degrees. Let's now check our answer.

`30+3(20)=90?\\30+60=90?\\90=90`

Therefore the answer is x=20 degrees

Cheers!