Question

The opposite angles of a parallelogram are (3x-3) and (5x -67).Find all angles of the parallelogram​

Answer 1

Answer:

Step-by-step explanation:

Opposite angles in a parallelogram are equal.

So,

3x-3=5x-67

=> 3x-5x=-67+3

=> -2x= -64

=> x=32

Therefore, two angles of the parallelogram are:

3(32)-3= 93 degrees, and 5(2)-7= 93 degrees.

Let, The other two opposite angles be ‘X’.

Then, 2X+ 93+ 93= 360 (Sum of Angles in a quadrilateral are equal to 360)

2X + 186= 360

2X= 360-186

2X= 114

X= 57 Degrees.

Therefore all angles of the parallelogram are 93,93,57,57 degrees.

PLEASE MARK AS BRAINLIEST AND RATE 5/5.

Answer 2

Answer :-

Property of parallelogram :-

The opposite angles of a parallelogram are always equal.Thus, by this property, we can write that,

$3x - 3 = 5x - 67$

$2x = 67 - 3$

$2x = 64$

$x = 32$

We know that the sum of adjacent angles of a parallelogram is 180°.

So, angles of the parallelogram will be :

3x-2 = 94

94° , 180°-94° , 94° , 180°-94°

Or, angles will be :-

$\huge{94°,86°,94°,86°}$