Two opposite angles of a parallelogram are (5x-8)° and (2x+82)°. Find the measures of each angle of the parallelogram.
Answers
Answer:
Opposite angles of a parallelogram are equal.
One angle is 5x-8°
Second angle is 2x+82°
measure of each angle=
5x-8 = 2x+82° (opp angles are equal)
5x-2x = 82+8
3x = 90
x = 90/3
x = 30
Therefore: first angle = 5x-8° = 5(30)-8° = 142°
second angle = 2x+82° = 2(30)+82° = 142°
Thus opposite angles r equal (142° = 142°)
Adjacent angles are supplementary.
So let the adjacent angles be x
x+142°=180(adjacent angles r supplementary)
x=180-142°= 38°
So opposite angle of x will also be equal as opposite angles r equal. So another angle will also be 38°
Angles of parallelogram are 38°,38°,142°,142°
Pls mark as brainliest.
Answer:
Opposite angles of a parallelogram are equal.
One angle is 5x-8°
Second angle is 2x+82°
measure of each angle=
5x-8 = 2x+82° (opp angles are equal)
5x-2x = 82+8
3x = 90
x = 90/3
x = 30
Therefore: first angle = 5x-8° = 5(30)-8° = 142°
second angle = 2x+82° = 2(30)+82° = 142°
Step-by-step explanation: