Question

4. Use the diagram. Find the measure of <2. *

Answer 1

we conclude that the measure of ∠2 is: 106°

i.e. m∠2 = ∠106°

Explanation:

We know that when two lines cross, the angles will be opposite to each other.

The opposite angles are also termes as 'vertical angles'.

In our case,

∠106° and ∠2 are opposite. Hence, ∠106° and ∠2 are vertical.

∠1 and ∠3 are opposite. Hence, ∠1 and ∠3 are also vertical.

Please note that vertical angles are equal.

Given

• Angle ∠106°

As ∠2 is the vertical angle ∠106°. So, it must be equal to 106°.

Hence,

m∠2 = ∠106°

Therefore, we conclude that the measure of ∠2 is: 106°

i.e. m∠2 = ∠106°