Question

CIRCLES!! Need help

Picture:

Answer all or just one please I need help and answers!!!

Answer 1

Answer for the question No.17

Answer:

`x=28.11\ degree`

`m\angle\ ABC=28.11\ degree`

Explanation:

Answer for the question No.17

Given:-

`\angle\ BAD=(5x+10)\ degree`

`\angle\ ADC=(87)\ degree`

`\angle\ DCB=(3x+10)\ degree`

Let,
`m\angle\ ABC=x`

In quadrilateral ABCD,

`\angle\ BAD+\angle\ ABC+\angle\ DCB +\angle\ ADC =360\ degree` ---(sum of angle of quadrilateral is 360 degree)

`\therefore\ (5x+10)+x+(3x+10)+87=360`

`9x+107=360`

`9x=360-107`

`9x=253`

`x=(253)/(9)`

`\therefore\ x=28.11\ degree`

SInce x=
`m\angle ABC`

`\therefore\ m\angle\ ABC=28.11\ degree`