Question

In Fig. 8.40, ∠ACB is a line such that ∠DCA = 5x and ∠DCB = 4x. Find the value of x.

Answer 1

Concept :  

Linear pair of angles:

If Non-common arms of two adjacent angles form a line, then these angles are called linear pair of angles.

Axiom- 1

If a ray stands on a line, then the sum of two adjacent angles so formed is 180°i.e, the sum of the linear pair is 180°.

 

Given :  ∠ACB is a line such that ∠DCA = 5x and ∠DCB = 4x.

∠ACD and  ∠DCB form a linear pair.

∠ACD + ∠DCB = 180°  

5x + 4x = 180°

9x = 180°

x = 180°/9

x = 20°

Hence, the value of x is 20°.

HOPE THIS ANSWER WILL HELP YOU…..

 

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Answer 2

Answer:

x is 20 degree

Step-by-step explanation:

Linear pair of angles:

If Non-common arms of two adjacent angles form a line, then these angles are called linear pair of angles.

Axiom- 1

If a ray stands on a line, then the sum of two adjacent angles so formed is 180°i.e, the sum of the linear pair is 180°.

 

Given :  ∠ACB is a line such that ∠DCA = 5x and ∠DCB = 4x.

∠ACD and  ∠DCB form a linear pair.

∠ACD + ∠DCB = 180°  

5x + 4x = 180°

9x = 180°

x = 180°/9

x = 20°

Hence, the value of x is 20°.

HOPE this will help you