Question

Two adjacent angle on a straight line are ( 5x - 6 ) (7x + 6) the value of x and magnitude of both angles ​

Answer 1

Answer:

$\red { Required \: two \: adjacent \: angles }$

$\green { 69\degree \: and \: 111\degree }$

Step-by-step explanation:

$Given \: (5x-6) \:and \: (7x+6) \:are \: two \\adjacent \: angles \: of \: a \: straight \:line .$

$5x - 6 + 7x + 6 = 180\degree$

$\boxed {\pink { Sum \: of \: adjacent \:angles = 180\degree }}$

$\implies 12x = 180$

$\implies x = \frac{180}{12}\\= 15$

$One \: angle = 5x - 6 \\= 5\times 15 - 6 \\= 75 - 6 \\= 69 \degree$

$Second \:angle = 7x + 6 \\= 7 \times 15 + 6 \\= 105 + 6 \\= 111 \degree$

Therefore.,

$\red { Required \: two \: adjacent \: angles }$

$\green { 69\degree \: and \: 111\degree }$

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