The sum of two vertically opposite angles is 166- Find each of the angles-

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Standard VII

Mathematics

Vertically Opposite Angles

The sum of tw...

Question

The sum of two vertically opposite angles is $166^{\circ}$ . Find each of the angles.

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Solution

When two lines intersect, then vertically opposite angles so formed are equal. Let x be the measure of each vertically opposite angles,
Then, $x + x = 166^{\circ} \Rightarrow 2 x = 166^{\circ} \Rightarrow x = \frac{166^{\circ}}{2} = 83^{\circ}$
So, the measure of each angle is $83^{\circ}$ .

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Fill in the blanks:

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Vertically Opposite Angles

Standard VII Mathematics

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The sum of two vertically opposite angles is 166∘. Find each of the angles.

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∘2=83∘ So, the measure of each angle is 83∘.

The sum of two vertically opposite angles is $166^{\circ}$ . Find each of the angles.

When two lines intersect, then vertically opposite angles so formed are equal. Let x be the measure of each vertically opposite angles,
Then, $x + x = 166^{\circ} \Rightarrow 2 x = 166^{\circ} \Rightarrow x = \frac{166^{\circ}}{2} = 83^{\circ}$
So, the measure of each angle is $83^{\circ}$ .