Explanation:
Given . :-
- The opposite angles of parallelogram are (4p+5)°and (3p+15)°
To find . :-
- The angles of the parallelogram.
Solution :-
Given that :-
The opposite angles of a Parallelogram are
(4p+ 5)° and (3p+15)°
We know that,
Opposite angles are equal in a Parallelogram.
(4p+5)° = (3p+15)°
4p - 3p = 15°- 5°
P= 10°
The value of p = 10°
If p = 10° then the value of (4p+5)°
= 4(10)+5
= 40+5
= 45°
We know that
Adjacent angles are Supplementary in a
Parallelogram.
Supplementary angle of 45°
= 180°- 45°
= 135°
The angles are 45°, 135°, 45°, 135°
Answer . :-
- The four angles in a Parallelogram are 45°, 135°, 45° and 135°
More information :-
- Two pairs of opposite sides are parallel and equal in a Parallelogram.
- Opposite angles are equal. Adjacent angles are supplementary.
- Diagonals are not equal.
- The sum of two angles is 180° then the angles are called Supplementary angles.
- The supplementary angle of X° is (180-X)°