Question

if two adjacent angles of a parallelogram are (5x-5)° and (10x+35)°,then find the ratio of these angles​

Answer 1

We will have to first find the measurement of each given angles.
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

Answer 2

Answer:

1 : 3

Step-by-step explanation:

Adjacent angles added up gives 180 degrees .

First angle = 5 x - 5

Second angle = 10 x + 35

Now we will add them :

5 x - 5 + 10 x + 35

= 15 x + 30

The sum of angles = 180

15 x + 30° = 180°

= 15 x = 150°

= x = 150°/15°

= x = 10°

Sides are 5.10-5

= 45

Side = 10.10 + 35

= 135

Ratio = 45 : 135

= 1 : 3

Ratio = 1 : 3