Question

Please help, geometry

Answer 1

Answer: The answer is 79.0°

Explanation:

A quadrilateral will always have 360° and four sides. Keep that in mind, that's a universal rule of geometry.

Here, the sum of all sides is equal to 360°. Therefore, we make an equation:

`(14x-11) + (8x+7) + (5x+18) + (10x + 13) = 360`

Simplify by adding and subtracting like terms.

`37x +27=360`

Isolate x by first passing the 27 to the other side.

`37x = 333`

Divide by 37 to isolate x.

`x = 9`

To find m∠B, we plug in x to
`(8x+7)`

which gives you:
`(8*9+7) = 79`

The answer is 79.0°

Curious if it is correct? Let's double check.

Plug in the x=9 to all the x values and add them up. You should get 360, which makes the answer correct.

Answer 2

Explanation:

As it is a quadrilateral so sum of all angles of quadrilateral is equal to 360°

14x - 11° + 8x + 7° + 5x + 18° + 10x + 13° = 360°

37x+ 27° = 360°

37x = 360° - 27°

37x = 333°

x = 333° / 37

Therefore x = 9°

Now

<B = 8 * 9° + 7° = 79°

Hope it will help you.