Home
Class 9
MATHS
Prove that if the two arms of an angle...

Prove that if the two arms of an angle are parallel to the two arms of another angle, then the angles are either equal or supplementary.

Text Solution

AI Generated Solution

To prove that if the two arms of an angle are parallel to the two arms of another angle, then the angles are either equal or supplementary, we can follow these steps: ### Step-by-Step Solution: 1. **Draw the Diagram**: - Draw two angles such that the arms of the first angle are parallel to the arms of the second angle. - Let the first angle be ∠ABC and the second angle be ∠DEF, where AB || DE and BC || EF. ...
Promotional Banner

Topper's Solved these Questions

  • LINES AND ANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/exemplar|6 Videos
  • LINES AND ANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6 A|19 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise|12 Videos
  • NUMBER SYSTEM

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is

Is it true to say that, if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle, then the triangles are similar? Give reason for your answer.

If two angles and a side of one triangles are equal to two angles and a side of another triangles , the triangles are congruent.

Define supplementary angles.

In a parallelogram, two adjacent angles are supplementary.

Theorem 6.4 : If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary.

If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. Is the statement true? Why?

If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. Is the statement true? Why?

Prove that consecutive angles ofa parallelogram are supplementary.

A pair of supplementary angles is