Question

The value of one angel is given in the figures below. find the value of second vertically opposite angle.​

Answer 1

Answer:

The measure of an opposite angle is $40^{0}$.

Step-by-step explanation:

Given : Measure of one angle = $140^{0}$

To find : The measure of an angle opposite to given angle.

Solution :

• There are two intersecting lines.
• Measure of one angle = $140^{0}$
• We have to find the measure of an angle opposite to given angle.
• Let, x be the measure of opposite angle.
• The angles which are made by intersecting lines which are non-adjacent, are known as opposite angles.

• The sum of opposite angles are $180^{0}$.
• According to given data, the equation becomes

             $x^{0} +140^{0} =180^{0}$

                   ∴ $x^{0} = 180^{0} -140^{0}$

                    ∴ $x^{0} =40^{0}$

• ∴ The measure of an opposite angle is $40^{0}$.