Question

Q2. Find x and each angle.
(9x +16)
(6x +15)
(19x +3)

Answer 1

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`19x + 3 = (6x + 15) + (9x + 16) \\`

Collect like terms

`19x + 3 = (9 + 6)x + (15 + 16) \\`

`19x + 3 = 15x + 31`

Subtract sides 3

`19x + 3 - 3 = 15x + 31 - 3`

`19x = 15x + 28`

Subtract sides 15x

`- 15x + 19x = - 15x + 15x + 28 \\`

`4x = 28`

Divide sides by 4

`(4x)/(4) = (28)/(4) \\`

`x = 7`

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Measure of each angle :

`19x + 3 = 19(7) + 3 = 133 + 3 = 136° \\`

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`9x + 16 = 9(7) + 16 =63 + 16 = 79° \\`

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`6x + 15 = 6(7) + 15 = 42 + 15 = 57° \\`

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