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Question
The sum of two vertically opposite angles is 166°. Find each of the angles.
Solution
When two lines intersect, then vertically opposite angles so formed are equal.
Let x be the measure of each vertically opposite angles.
Then, x + x = 166°
⇒ 2x = 166°
⇒ x = `166^circ/2` = 83°
So, the measure of each angle is 83°.
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