Question

Find the value of x from the following figure.​

Answer 1

Answer:

$x + x + 120 = 180 \\ 2x = 180 - 120 \\ 2x = 60 \\ x = 30$

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Answer 2

Given: ∠ROS=120°.

To find: ∠x.

Step-by-step explanation:

Step 1 of 1

The linear pair property states that the sum of all the angles on a line are equal to 180°.

So, ∠POR+∠ROS+∠SOQ=180°.

$x^{o}+120^{o}+x^{o}=180^{o}\\2x^{o}=180^{o}-120^{o}\\2x^{o}=60^{o}\\x^{o}=\frac{60}{2} \\x^{o}=30^{o}$

Value of x is 30°.