
In the adjoining figure, identify the pair of corresponding angles.

Answer
505.8k+ views
Hint:- When two lines intersect by another line, the angles in matching corners are called corresponding angles.
Complete step by step by solution
In the above figure a, b are two parallel lines, which are crossed by a transversal line called c. Line and c form angles . Similarly line b and line c form angles 5,6,7,8.
Now according to hint in the figure are corresponding angles.
Therefore, here we have four pairs of corresponding angles, which are .
As we know corresponding angles are always equal so these four pairs of angles are equal.
So, these four pairs of angles are equal.
i.e.
Note –If two lines which are crossed by a transversal line are parallel, then the corresponding angles are equal.
Hence, here all corresponding angles are equal.
Complete step by step by solution
In the above figure a, b are two parallel lines, which are crossed by a transversal line called c. Line and c form angles

Now according to hint in the figure
Therefore, here we have four pairs of corresponding angles, which are
As we know corresponding angles are always equal so these four pairs of angles are equal.
So, these four pairs of angles are equal.
i.e.
Note –If two lines which are crossed by a transversal line are parallel, then the corresponding angles are equal.
Hence, here all corresponding angles are equal.
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