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10 if the ( mangle por = 147^{circ} ) find ( x ).

Question

10 if the ( mangle por = 147^{circ} ) find ( x ).

Explanation:

Step1: Analyze the angle relationship

From the figure, we know that \(m\angle POR=x + 119\) (angle addition postulate).

Step2: Set up the equation

Since \(m\angle POR = 147^{\circ}\), we have the equation \(x+119 = 147\).

Step3: Solve for \(x\)

Subtract 119 from both sides of the equation: \(x=147 - 119\).

$$x=28$$

Answer:

D. \(28\)