one of the angles of a parallelogram is equal to 40°. find the rest of the angles. The angles of a parallelogram are About the author Samantha
Answer: 40°, 140° and 140° Step-by-step explanation: Given: In a parallelogram, the measurement of one angle = 40° To Find: What are the measurements of rest angles? Solution: ● The sum of the adjacent angles of a parallelogram is equal to 180° . Let the adjacent angle be x . A/Q, 40° + x = 180° => x = 180° – 40° x = 140° ● The opposite angles of a parallelogram are equal. Hence, the opposite angle of 140°=140° the opposite angle of 40° = 40° Therefore, rest of the angles are 40°, 140° and 140°. Reply
Answer:
40°, 140° and 140°
Step-by-step explanation:
Given:
To Find:
Solution:
● The sum of the adjacent angles of a parallelogram is equal to 180° .
Let the adjacent angle be x .
A/Q,
40° + x = 180°
=> x = 180° – 40°
x = 140°
● The opposite angles of a parallelogram are equal.
Hence, the opposite angle of 140°=140°
the opposite angle of 40° = 40°
Therefore, rest of the angles are 40°, 140° and 140°.