Q23) In the given diagram, identify the following pairs of angles as given in the following figure:
Answers
Answer:
∠1 and ∠3 are vertical angles, hence are equal.
∠2 and ∠4 are vertical angles, hence are equal.
∠5 and ∠7 are vertical angles, hence are equal.
∠6 and ∠8 are vertical angles, hence are equal.
∠14 and ∠16 are vertical angles, hence are equal.
∠13 and ∠15 are vertical angles, hence are equal.
∠9 and ∠11 are vertical angles, hence are equal.
∠10 and ∠12 are vertical angles, hence are equal.
∠1 and ∠5 are corresponding angles, hence are equal.
∠3 and ∠7 are corresponding angles, hence are equal.
∠4 and ∠8 are corresponding angles, hence are equal.
∠2 and ∠6 are corresponding angles, hence are equal.
∠14 and ∠9 are corresponding angles, hence are equal.
∠16 and ∠11 are corresponding angles, hence are equal.
∠13 and ∠12 are corresponding angles, hence are equal.
∠15 and ∠10 are corresponding angles, hence are equal.
∠3 and ∠5 are alternate interior angles, hence are equal.
∠4 and ∠6 are alternate interior angles, hence are equal.
∠16 and ∠9 are alternate interior angles, hence are equal.
∠13 and ∠10 are alternate interior angles, hence are equal.
∠2 and ∠8 are alternate exterior angles, hence are equal.
∠1 and ∠7 are alternate exterior angles, hence are equal.
∠15 and ∠12 are alternate exterior angles, hence are equal.
∠14 and ∠11 are alternate exterior angles, hence are equal.
∠4 and ∠5 are consecutive interior angles, hence add up to 180°
∠3 and ∠6 are consecutive interior angles, hence add up to 180°
∠13 and ∠9 are consecutive interior angles, hence add up to 180°
∠16 and ∠10 are consecutive interior angles, hence add up to 180°
Step-by-step explanation:
Line l and Line m are parallel and other double arrow lines are transversal.
∴ ∠1 and ∠3 are vertical angles, hence are equal.
∠2 and ∠4 are vertical angles, hence are equal.
∠5 and ∠7 are vertical angles, hence are equal.
∠6 and ∠8 are vertical angles, hence are equal.
∠14 and ∠16 are vertical angles, hence are equal.
∠13 and ∠15 are vertical angles, hence are equal.
∠9 and ∠11 are vertical angles, hence are equal.
∠10 and ∠12 are vertical angles, hence are equal.
∠1 and ∠5 are corresponding angles, hence are equal.
∠3 and ∠7 are corresponding angles, hence are equal.
∠4 and ∠8 are corresponding angles, hence are equal.
∠2 and ∠6 are corresponding angles, hence are equal.
∠14 and ∠9 are corresponding angles, hence are equal.
∠16 and ∠11 are corresponding angles, hence are equal.
∠13 and ∠12 are corresponding angles, hence are equal.
∠15 and ∠10 are corresponding angles, hence are equal.
∠3 and ∠5 are alternate interior angles, hence are equal.
∠4 and ∠6 are alternate interior angles, hence are equal.
∠16 and ∠9 are alternate interior angles, hence are equal.
∠13 and ∠10 are alternate interior angles, hence are equal.
∠2 and ∠8 are alternate exterior angles, hence are equal.
∠1 and ∠7 are alternate exterior angles, hence are equal.
∠15 and ∠12 are alternate exterior angles, hence are equal.
∠14 and ∠11 are alternate exterior angles, hence are equal.
∠4 and ∠5 are consecutive interior angles, hence add up to 180°
∠3 and ∠6 are consecutive interior angles, hence add up to 180°
∠13 and ∠9 are consecutive interior angles, hence add up to 180°
∠16 and ∠10 are consecutive interior angles, hence add up to 180°