One of the adjacent angles of a parallelogram is 50° less than other. The measure of greatest angle is ________ About the author Caroline
Answer: 115° Step-by-step explanation: The adjacent angles of a parallelogram are supplementary. Let the smaller angle be x. Greater angle = (x+50)° => x+x+50 = 180° => 2x = 180° – 50° => 2x = 130° => x = 130 ÷ 2 => x = 65 Therefore, greater angle = (65+50)° = 115° Reply
Answer:
115°
Step-by-step explanation:
The adjacent angles of a parallelogram are supplementary.
Let the smaller angle be x.
Greater angle = (x+50)°
=> x+x+50 = 180°
=> 2x = 180° – 50°
=> 2x = 130°
=> x = 130 ÷ 2
=> x = 65
Therefore, greater angle = (65+50)° = 115°