Question

Which pair of angles are vertical angles?

∠KRC and ∠CRH

∠KRE and ∠ERT

∠MRC and ∠KRM

∠ERT and ∠MRC

Answer 1

The answer would be D.) ∠ERT and ∠MRC

Answer 2

Option 4.∠ERT and ∠MRC

Explanation:

Definition of vertical angles : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross).They are also called vertically opposite angles.

Option 1. ∠KRC and ∠CRH

Refer the figure .

These angles does not satisfy the definition of vertical angles . since these angles are not opposite.

Option 2. ∠KRE and ∠ERT

These angles does not satisfy the definition of vertical angles . since these angles are not opposite.

Option 3. ∠MRC and ∠KRM

These angles does not satisfy the definition of vertical angles . since these angles are not opposite.

Option 4.∠ERT and ∠MRC

MT and EC are the two lines that cross each other at vertex R ,

Thus ∠ERT and ∠MRC are opposite to each other .

Hence ∠ERT and ∠MRC are pair of vertcal angles .