two adjacent angle of a parallelogram are (2y+10) and (3y-40) find the measure if all angles of parallelogram .
Answers
Answer:
Step-by-step explanation:
2y+10=3y-40
y=50
110,110,70,70
Answer:
The angles of a parallelogram are 94° ,86° 94° and 86°
Step-by-step explanation:
Given:
Two adjacent angles of a parallelogram are (2y +10) and (3y - 40)
As we know that,
Sum of adjacent angles of a parallelogram = 180°
(2y +10) + (3y - 40) =180°
5y - 30 =180°
5y= 180° +30
5y = 210°
y = 210° /5= 42°
One of the adjacent angle is (2y +10 ) =(2× 42° +10) = (84° +10)=94°
Opposite angle to this angle =94° (As opposite angles of a parallelogram are equal)
Other adjacent angle is (3y -40 ) = (3 × 42° - 40) = (126° -40° ) =86°
Opposite angle to this angle = 86°