Question

HELP PLSS ANYONE? I'VE TO SUBMIT ASAP

Answer 1

x =14

Answer:

`m\angle ABC = 51°`

Explanation:

11. By inscribed angle theorem:

`83°=(1)/(2) * (9x+40)°\\\\</p><p>83°* 2 = (9x+40)°\\</p><p>166°= (9x+40)°\\</p><p>166 = 9x + 40\\</p><p>166 - 40 = 9x\\</p><p>126 = 9x\\\\</p><p>x = (126)/(9)\\\\</p><p>\huge \red {\boxed {x = 14}}`

12. Again by inscribed angle theorem:

`(5x+11)°=(1)/(2) * (16x-26)°\\\\</p><p>2* (5x+11)°= (16x-26)°\\</p><p>(10x+22)°= (16x-26)°\\</p><p>10x + 22 = 16x - 26\\</p><p>22+26 = 16x - 10x\\</p><p>48= 6x\\\\</p><p>x = (48)/(6)\\\\</p><p>\huge \purple{\boxed {x = 8}}\\</p><p>m\angle ABC = (5x+11)°\\</p><p>m\angle ABC = (5* 8+11)°\\</p><p>m\angle ABC = (40+11)°\\</p><p>\huge \orange{\boxed {m\angle ABC = 51°}} \\</p><p></p><p></p><p>`