Question

PLEASE ANSWER THIS QUESTION ITS URGENT​

Answer 1

Given :

• Two Adjacent angles of a parallelogram are in the ratio 7:5.

To Find :

• All the angles of parallelogram.

Solution :

Let two adjacent angles be 7x and 4x.

Now ,

$\longmapsto\tt{7x+5x=180\degree}$

$\longmapsto\tt{12x=180\degree}$

$\longmapsto\tt{x=\cancel\dfrac{180}{12}}$

$\longmapsto\tt\bf{x=15}$

Value of x is 15...

Therefore :

$\longmapsto\tt{1st\:Adjacent\:Angle=7(15)}$

$\longmapsto\tt\bf{105\degree}$

$\longmapsto\tt{2nd\:Adjacent\:Angle=5(15)}$

$\longmapsto\tt\bf{75\degree}$

As we know that opposite angles of a parllelogram are equal . So , All the angles of parallelogram are 105° , 75° , 105° and 75° ..

Answer 2

Answer :-

• 105°, 75°, 105°, 75°

Given :-

• Adjacent angles of a ||gm are in the ratio 7:5.

To Find :-

• All angles of the ||gm.

SoluTion :-

Put x in the ratio.

Angles are

• 7x
• 5x

According to question :-

7x + 5x = 180°

12x = 180°

x = 180/12

x = 15

Put the value of x in the ratio.

Now,

Angles are

• 7x = 7 × 15 = 105°
• 5x = 5 × 15 = 75°

Hence, all angles of the ||gm are 105°, 75°, 105° and 75°.

[ opposite angles of a ||gm are equal ]