Which are linear pairs? Check all that apply.
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The pair of the linear angles include:
B. ∠BAC and ∠CAD
C. ∠BAE and ∠EAD
D. ∠EAD and ∠DAC
Linear pair of angles are formed when two lines intersect each other at a single point. It should be noted that the angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
Also, the sum of angles of a linear pair is always equal to 180. The linear pair of angles represents the sum of the angles of the pair is 180° which exist originated at a point of a line.
In other terms, the pair of supplemental angles stands for the linear pair.
From the figure shown, the pair of the linear angles exist,
B. ∠BAC and ∠CAD
C. ∠BAE and ∠EAD
D. ∠EAD and ∠DAC
Thus, Options B, C, and D are correct.
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Complete question:
Which are linear pairs? Check all that apply.
A. ∠DAE and ∠EAD
B. ∠BAC and ∠CAD
C. ∠BAE and ∠EAD
D. ∠EAD and ∠DAC
E. ∠CAE and ∠BAD