Question

2. In the adjoining figure, identify
a) The pairs of vertically opposite angles.
b) The pairs of alternate interior angles.
c) The pairs of corresponding angles.
d) The pairs of alternate exterior angles.
e) The pairs of interior angles on the same side
of the transversal.

Answer 1

Answer:

A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees. For example, if two lines intersect and make an angle, say X=45°, then its opposite angle is also equal to 45

Give Thanks

Answer 2

(i) ∠1 and ∠5; ∠2 and ∠6; ∠4 and ∠8; ∠3 and ∠7 are the pairs of corresponding angles.

(ii) ∠3 and ∠5 ; ∠2 and ∠8 are the pairs of alternate interior angles.

(iii) ∠3 and ∠8 ; ∠2 and ∠5 are the pairs of interior angles on the same side of the transversal.

(iv) ∠1 and ∠3; ∠2 and ∠4; ∠6 and ∠8; ∠5 and ∠7 are the vertically opposite angles.