Question

OK HOW TO SLOVE INTERIOR ANGLES?

Answer 1

X = 32, all values of specific interior angles are at the bottom

Explanation:

First, gather info...

We know:

2x + 15 + 2x + 37 = 180˚

A = 37˚

Next...

4x + 52 = 180

Then...

4x = 128

After that...

x = 32

So now we know...

A = 37˚

B = 2*x

C = (2*x) + 15

and the x can be replaced with 32 so

A = 37˚

B = 2*32

C = (2*32) + 15

So finally the answer is...!

A = 37˚

B = 64˚

C = 79˚

Answer 2

x= 32

∠ABC= 79

∠ACB= 64

Explanation:

To solve interior angles, remember that a triangle always sums up to 180 degrees. So, all the angles added together should equal to 180 degrees.

The equation would be: 2x+15+2x+37= 180

Step 1- Add common variables.

(2x+2x)+(15+37)= 180

4x+52= 180

Step 2- Subtract 52 to both sides.

4x+52= 180

-52 -52

4x= 128

Step 3- Divide both sides by 4.

4x= 128

4 4

x= 32

Now that we know the value of x, substitute it into the angles.

∠ABC= 2(32)+15= 79

∠ACB= 2(32)= 64

Check

Add all the angles together to make sure they sum up to 180 degrees.

79+64+37= 180

Hope this helps!