Q2. Find x and each angle.
(9x +16)
(6x +15)
(19x +3)
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[tex]19x + 3 = (6x + 15) + (9x + 16) \\ [/tex]
Collect like terms
[tex]19x + 3 = (9 + 6)x + (15 + 16) \\ [/tex]
[tex]19x + 3 = 15x + 31[/tex]
Subtract sides 3
[tex]19x + 3 - 3 = 15x + 31 - 3[/tex]
[tex]19x = 15x + 28[/tex]
Subtract sides 15x
[tex] - 15x + 19x = - 15x + 15x + 28 \\ [/tex]
[tex]4x = 28[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{28}{4} \\ [/tex]
[tex]x = 7[/tex]
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Measure of each angle :
[tex]19x + 3 = 19(7) + 3 = 133 + 3 = 136° \\ [/tex]
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[tex]9x + 16 = 9(7) + 16 =63 + 16 = 79° \\ [/tex]
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[tex]6x + 15 = 6(7) + 15 = 42 + 15 = 57° \\ [/tex]
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