Home
Class 9
MATHS
If two lines intersect prove that the v...

If two lines intersect prove that the vertically opposite angles are equal

Text Solution

Verified by Experts


`/_AOC+ /_AOD=180` [linear pair]
`/_AOD+ /_BOD=180` [linear pair]
from the above equations
`/_AOC+ /_AOD =/_AOD+/_BOD`
...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NCERT THEOREMS

    NCERT ENGLISH|Exercise THEOREM 6.2|1 Videos
  • NCERT THEOREMS

    NCERT ENGLISH|Exercise THEOREM 6.3|1 Videos
  • NCERT THEOREMS

    NCERT ENGLISH|Exercise THEOREM 10.12|1 Videos
  • LINES AND ANGLES

    NCERT ENGLISH|Exercise Exercise 6.1|6 Videos
  • NUMBER SYSTEMS

    NCERT ENGLISH|Exercise EXERCISE 1.4|2 Videos

Similar Questions

Explore conceptually related problems

Fill in the blanks:(i) If two angles are complementary, then the sum of their measures is _______.(ii) If two angles are supplementary, then the sum of their measures is ______.(iii) Two angles forming a linear pair are _______________.(iv) If two adjacent angles are supplementary, they form a ___________.(v) If two lines intersect at a point, then the vertically opposite angles are always_____________.(vi) If two lines intersect at a point, and if one pair of vertically opposite angles areacute angles, then the other pair of vertically opposite angles are __________.

Prove that In a parallelogram, opposite side are equal

If two straight lines intersect each other, prove that the ray opposite to the bisector of one of the angles thus formed bisects the vertically opposite angle.

Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.

In an isosceles triangle, prove that the angles opposite to equal sides are equal.

Which of the following statements are true (T) and which are false (F)? Give reasons. (i)If two lines are intersected by a transversal, then corresponding angles are equal. (ii)If two parallel lines are intersected by a transversal, then alternate interior angles are equal. (iii)Two lines perpendicular to the same line are perpendicular to each other. (iv)Two lines parallel to the same line are parallel to each other. (v)If two parallel lines are intersected by a transversal, then the interior angle on the same side of the transversal are equal.

Two lines AB and CD are cut by a transversal EF, as shown in the figure. Identify the given pair of angles as adjacent angles, vertically opposite angles, alternate angles, corresponding angles or co-interior angles angle3 and angle6

Two lines AB and CD are cut by a transversal EF, as shown in the figure. Identify the given pair of angles as adjacent angles, vertically opposite angles, alternate angles, corresponding angles or co-interior angles angle3 and angle4

Two lines AB and CD are cut by a transversal EF, as shown in the figure. Identify the given pair of angles as adjacent angles, vertically opposite angles, alternate angles, corresponding angles or co-interior angles angle4 and angle5

Two lines AB and CD are cut by a transversal EF, as shown in the figure. Identify the given pair of angles as adjacent angles, vertically opposite angles, alternate angles, corresponding angles or co-interior angles angle1 and angle5