Question

help me in this questions​

Answer 1

ANSWER:-

Given:

The measure of adjacent angles of a parallelogram are (3x+30°) & (10x -45°).

To find:

Find the measure of the angles of the parallelogram.

Solution:

We know that sum of the adjacent angles be 180°.

Therefore,

=) (3x+30°) +(10x -45°)= 180°

=) 3x+30° + 10x -45° = 180°

=) 13x - 15° = 180°

=) 13x = 180° +15°

=) 13x = 195°

=) x= 195/13

=) x = 15°

So,

1st angle

=) 3x +30°

=) 3×15°+ 30°

=) 45° +30°

=) 75°

2nd angle;

=) 10x -45°

=) 10× 15° -45°

=) 150° - 45°

=) 105°

Note:

Opposite angles are equal in parallelogram.

Hence,

Angles of ||gm = 75°, 105°, 75° & 105°.

Hope it helps ☺️