Question

Geometry Question below please answer

Answer 1

Explanation:

<ABC + <CBD = 180° [ being linear pair ]

Now

8x - 41° + 9x + 17° = 180°

17x - 24° = 180°

17x = 180° + 24°

17x = 204°

Therefore x = 12°

Now

<CBD = 9 * 12 + 17° =125°

Answer 2

`\angle{ABC} = 8x - 41\degree`

`\angle{CBD} = 9x + 17 \degree`

`\huge \pink{Find \: x:}`

`\angle{ABC} + \angle{CBD} = 180 \degree`

`8x - 41 \degree + 9x + 17 \degree = 180 \degree`

`17x + ( - 41 \degree + 17 \degree) = 180 \degree`

`17x + ( - 24 \degree) = 180 \degree`

`17x - 24 \degree = 108 \degree`

`17x = 180 \degree + 24 \degree`

`17x = 204 \degree`

`x = (204 \degree)/(17)`

`x = 12`

`\huge\pink{Find} \: \angle{CBD:}`

`\angle{CBD} = 9x + 17 \degree`

`= > 9(12) + 17 \degree`

`= > 108 \degree + 17 \degree`

`= > 125\degree`