Question

If two adjacent angles of a parallelogram are (5x – 5) and (10x + 35), then the ratio of these angles is : 1:3,2:3,1:2,1:4

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

1: 3 We know that adjacent angles of a parallelogram sums to 180°.

So, ( 5x - 5 )° + ( 10x + 35 )°

= 180° => 5x° - 5° + 10x° + 35°

= 180° => 15x° + 30°

= 180° => 15x°

= 180° - 30° => x

= 150/15

= 10

Hence,

Adjacent angles are ( 5x - 5 )° and ( 10x + 35 )° => ( 5 * 10 - 5 )° and ( 10 * 10 + 35 )° => ( 50 - 5 )° and ( 100 + 35 )° => 45° and 135°

Now, The required ratio

= 45° / 135° 

= 9 / 27 

= 3 / 9 

= 1 / 3 

= 1 : 3

Step-by-step explanation:

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