Home
Class 9
MATHS
In the adjoining figure, we have angle1=...

In the adjoining figure, we have `angle1=angle3 and angle2=angle4`. Show that `angleA=angleC`.

Text Solution

Verified by Experts

Given, `angle1=angle3` ...(i)
and `angle2=angle4` ...(ii)
According to Euclid's axiom , if equals are added to equals , then wholes are also equal. On adding Eqs. (i) and (ii), we get
`angle1+angle2=angle3+angle4`
`rArr angleA=angleC`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO EUCLID GEOMETRY

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 5.4 Long Answer Type Questions|5 Videos

  • INTRODUCTION TO EUCLID GEOMETRY

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 5.2 Very Short Answer Type Questions|9 Videos

  • HERON'S FORMULA

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|8 Videos

  • LINEAR EQUATION IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 4.8|1 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, we have angle1=angle2and =angle3. Show that angle1=angle3.

In the ajoining figure , we have angleABC=angleACBand angle3=angle4 . Show that BD=DC.

In figure, angleB lt angleA and angleC lt angleD . Show that AD lt BC .

In the adjoining figure, p || q . Find the unknown angles.

In the adjoining figure : Name the side opposite to angle R

From the adjoining figure prove that angleA+angleB+angleC+angleD+angleE+angleF=360^(@)

From the adjoining figure prove that angleA+angleB+angleC+angleD+angleE+angleF=360^(@)

In the adjoining figure : Name the angle opposite to side QR.

In the adjoining figure PQ = PR and angle PRQ = 70^(@) Find angle QPR.

In the adjoining figure, angle ABC=95^@ and angle DAC=35^@ , then find the value of angle ACD .