Question

Given ∠POR = 3x and ∠QOR = 2x+10, find the value of x for which POQ will be a line.

Answer 1

Answer:

2x+10+3x=180°

5x=170°

x=34°

Answer 2

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 :  ∠POR = 3x and ∠QOR = 2x + 10 and  POQ will be a line.

∠POR and ∠QOR form a linear pair.

∠POR +  ∠QOR = 180°

3x + 2x + 10°  = 180°

5x + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 170°/5

x = 34°

Hence, the value of x is 34.°.

HOPE THIS ANSWER WILL HELP YOU…..

 

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