Question

find the value of in the given figure. ​

Answer 1

Answer:

$\frac{x}{2} + \frac{x}{2} + 40 = 180 \\ \frac{x + x}{2} = 180 - 40 \\ x = \frac{140 \times 2}{2} \\ x = 140$

$\frac{x}{2} = \frac{140}{2} = 70$

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Answer 2

Answer:

x=140°

Step-by-step explanation:

PS is a straight line.

∴The sum of all 3 angles formed in the line is 180°.

∠POQ+∠QOR+∠ROS=180°

$\frac{x}{2}$+40°+$\frac{x}{2}$=180°

$\frac{x}{2}$+$\frac{x}{2}$+40°=180°

$\frac{x+x}{2}$+40°=180°

$\frac{2x}{2}$+40°=180°

x+40°=180°

x=180°-40°=140°