Question

identifying linear pairs which are linear pairs? ∠bac and ∠cae ∠cae and ∠baf ∠cae and ∠fae ∠caf and ∠bae ∠fad and ∠ead

Explanation:

Step1: Recall linear - pair definition

Two angles form a linear pair if they are adjacent and their non - common sides are opposite rays, and the sum of the measures of the two angles is 180 degrees.

Step2: Analyze ∠BAC and ∠CAE

They are adjacent and their non - common sides are opposite rays, so they form a linear pair.

Step3: Analyze ∠CAE and ∠BAF

They are not adjacent, so they do not form a linear pair.

Step4: Analyze ∠CAE and ∠FAE

They are adjacent but their non - common sides are not opposite rays, so they do not form a linear pair.

Step5: Analyze ∠CAF and ∠BAE

They are not adjacent, so they do not form a linear pair.

Step6: Analyze ∠FAD and ∠EAD

They are adjacent and their non - common sides are opposite rays, so they form a linear pair.

Answer:

∠BAC and ∠CAE; ∠FAD and ∠EAD