Question

Please help asap!!!
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Answer 1

Explanation:

I'm not going to help you with all of them but I will provide explanations to two problems and that will help you with the rest of them.

13. For this problem, the sum of the angle measures of a triangle is 180. We have 2 interior angle measurements (2x + 21 and 90) and we have to solve for x to get the full answers.

`2x+21+90+x=180`

Addition is associative and commutative. The order of which we add like terms wont matter.

`3x+111=180`

Subtract 111 on both sides

`3x=69`

Divide by 3

`x=23`

Now solve for one of the angle measures by plugging in 23 for the variable x.

`2*23+21`

90

The interior angle measures are 90, 23, and 90 degrees.

14. For this problem we need to solve for the exterior angle measure. Instead of 180, we do whatever the unsolved exterior angle measure is.

`80+x=3x-22`

Add 22 to both sides

`102+x=3x`

Subtract x on both sides

`102=2x`

Divide by 2

`x=51`

Plug in 51 in the equation

`3 * 51 - 22`

`131`

Hope this helps for the other problems!