Question

please find these answers for me​

Answer 1

Step-by-step explanation:

1)Given :-

In a Parallelogram CARS , angle C = (5x-20)°

angle A = (3x+20)°

To find :-

Find the value of x ?

Solution :-

Given that :

In a Parallelogram CARS , angle C = (5x-20)°

angle A = (3x+20)°

angle C and angle A are adjacent angles

We know that

In a Parallelogram the adjacent angles are supplementary.

=> angle C + angle A = 180°

=> (5x-20)°+(3x+20)° = 180°

=> 5x°-20°+3x°+20° = 180°

=> (5x°+3x°)+(20°-20°) = 180°

=> 8x°+0 = 180°

=> 8x° = 180°

=> x° = 180°/8

=> x° = 22.5°

Answer:-

The value of x = 22.5°

2)Given :-

The consecutive sides of a rhombus are 3x-6 and x+14 .

To find :-

Find the perimeter of the rhombus ?

Solution :-

Given that

The consecutive sides of a rhombus are 3x-6 and x+14 .

We know that

all sides are equal in a rhombus

=> 3x-6 = x+14

=> 3x-x = 14+6

=> 2x = 20

=> x = 20/2

=> x = 10

Now,

3x-6 = 3(10)-6 = 30-6 = 24

Length of the side = 24 units

Now,

Perimeter of a rhombus = 4×side

=> P = 4×24 units

=> P = 96 units

Answer:-

The perimeter of the given rhombus is 96 units

Used formulae:-

• In a Parallelogram the adjacent angles are supplementary.
• all sides are equal in a rhombus
• Perimeter of a rhombus = 4×side