Question

1. Two opposite angles of a parallelogram are (3.x - 2)° and (50 - x). Find the
angle of the parallelogram.​

Answer 1

Answer:

Angles of the parallelogram are 37°, 143°, 37° and 143°

Step-by-step explanation:

Given two opposite angles of a parallelogram are (3x-2)° and (50-x)

=> 3x-2 = 50-x

/* Opposite angles are equal in a parallelogram */

=> 3x+x = 50+2

=> 4x = 52

=> x = 52/4

=> x = 13

Therefore,

One angle = 3x-2

= 3×13-2

= 39-2

= 37°

Adjacent angle of 37° = (180-37)

= 143°

•••♪

Answer 2

ANSWER:-

Given:

Two opposite angles of a parallelogram are (3x - 2)° & (50 -x)°.

To find:

The angles of the parallelogram.

Solution:

Parallelogram: A parallelogram is a part of quadrilateral with opposite sides parallel & their opposite Angles are equal.

Therefore,

•Opposite angle are equal.

According to the question:

=) (3x -2)° = (50 -x )°

=) 3x - 2 = 50 -x

=) 3x +x = 50 +2

=) 4x = 52

=) x = 52/4

=) x= 13

So,

(3x-2)°

=) (3× 13 -2)°

=) (39 -2)°

=) 37°

We know sum of adjacent angles is 180°

•Other two angles equal opposite angles = 180° -37°

=) 143°

Thank You.