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I need help. Thank KB

I need help. Thank KB-example-1
User Matkv
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1 Answer

3 votes

Answer:


\huge\boxed{x=20}


\huge\boxed{H = 58, I = 71, J = 51}

Explanation:

In order to find the measure of our angle, we have to note angle relationships.

All angles in a triangle will add up to 180°

This means all the angles in this triangle will equal 180, or:


(4x - 9) + (3x - 2) + (3x-9) = 180

We can simplify this equation down to find the value of x.

Combine like terms:


10x - 20 = 180

Add 20 to both sides:


10x = 200

Divide both sides by 10:


x = 20

Now that we know the value of x, we can substitute it into the equation for each angle to find it's value.

m∠H:


3x-2\\3(20)-2\\60-2\\\\58

m∠I


4x-9\\4(20)-9\\80-9\\\\71

m∠J


3x-9\\3(20)-9\\60-9\\\\51

To further prove this is right, we would know that all the angles add up to 180°.


51+71+58=180, so we should be right.

Hope this helped!

User Biraj Bora
by
4.3k points