Question

Q15) If(x - 15) And ( x + 25 ) are a pair of linear angles, find the magnitude of each of them.​

Answer 1

Answer:

70° and 110°

Step-by-step explanation:

if two angles are said to be linear angles then their sum is 180°

=> ( x - 15 ) + ( x + 25 ) = 180

=> x - 15 + x + 25 = 180

=> 2x + 10 = 180

=> 2x = 180 - 10 = 170

=> x = 170 / 2 = 85

applying x in  ( x - 15 ) and ( x + 25 )

we get ( 85 - 15 ) and ( 85 + 25 )

= 70 and 110

so the two linear angles' magnitude is 70° and 110°

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Answer 2

Answer- The above question is from the chapter 'Lines and angles'.

Question: If(x - 15)° And (x + 25)° are a pair of linear angles, find the magnitude of each of them.​

Solution: We know that angles on a straight line have a measure equal to 180° i.e. they are supplementary angles.

Let 1st angle be (x - 15)° and 2nd angle be (x + 25)°.

(x - 15)° + (x + 25)° = 180°

x° - 15° + x° + 25° = 180°

2x° + 10° = 180°

2x° = 170°

x° = 85°

x= 85

Now, 1st angle = (x - 15)°= (85 - 15)° = 70°

2nd angle= (x + 25)° = (85 + 25)° = 110°

∴ Required two angles are 70° and 110°.