Question

HELP PLSS ANYONE? I'VE TO SUBMIT ASAP

Answer 1

x =14

Answer:

$m\angle ABC = 51°$

Step-by-step explanation:

11. By inscribed angle theorem:

$83°=\frac{1}{2} \times (9x+40)°\\\\

83°\times 2 = (9x+40)°\\

166°= (9x+40)°\\

166 = 9x + 40\\

166 - 40 = 9x\\

126 = 9x\\\\

x = \frac{126}{9}\\\\

\huge \red {\boxed {x = 14}}$

12. Again by inscribed angle theorem:

$(5x+11)°=\frac{1}{2} \times (16x-26)°\\\\

2\times (5x+11)°= (16x-26)°\\

(10x+22)°= (16x-26)°\\

10x + 22 = 16x - 26\\

22+26 = 16x - 10x\\

48= 6x\\\\

x = \frac{48}{6}\\\\

\huge \purple{\boxed {x = 8}}\\

m\angle ABC = (5x+11)°\\

m\angle ABC = (5\times 8+11)°\\

m\angle ABC = (40+11)°\\

\huge \orange{\boxed {m\angle ABC = 51°}} \\

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