Math, asked by duttasumita112, 9 months ago

In figure,AOB is a straight line. Find x and also the measure of each angle​

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Answers

Answered by shreya050906
19

Answer:

angle  \: aoc + angle \: boc = 180 \\ x - 9 + 5x + 3 = 180 \\ 6x - 6 = 180 \\ 6x = 180 + 6 \\ 6x = 186 \\ x =  \frac{186}{6}  \\ x = 31 \\ angle \: aoc = x - 9 \\  = 31 - 9 \\  = 22 \\ angle \: boc = 5x + 3 \\  = 5 \times 31 + 3 \\  = 155 + 3 = 158

Answered by nidhi2081
7

Answer:

x = 31

Step-by-step explanation:

The total no. Angle is 180°

So [ (5x + 3) + ( x-9)]

Now

5x + 3 + x - 9 = 180

5x + x + 3 - 9 = 180

6x - 6 = 180

6x = 180 + 6

6x = 186

x = 186/6

x = 31

The value of (x-9)

31 - 9 = 22

The value of ( 5x + 3)

5×31 + 3

155+3

158

Now you can check 22 + 158 = 180

HOPE YOU UNDERSTAND

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