Question

In the given figure,
1. find the value of x.
2. find the measures of BOC and AOC. ​

Answer 1

$(6x + 4) + (x + 8) = {180}^{o} \\ 7x + 12 = {180}^{o} \\ 7x = {180}^{o} - 12 \\ 7x = 168 \\ x = \frac{168}{7} \\ x = 24$

$6(24) + 4 = 144 + 4 = {148}^{o}$

$24 + 8 = {32}^{o}$

angle AOC=148

angle BOC=32

Answer 2

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