two opposite angles of a parelleo gram are(3x-2)° and (50-x)° find the measures of each angle of the parellogram
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Answered by
72
Answer :-
According to the property of parallelogram -
The two opposite angle of parallelogram are equal.
So,
➩ 3x - 2 = 50 - x
➩ 3x + x = 50 + 2
➩ 4x = 52
➩ x = 52/4
➩ x = 13°
Angle = 50 - 13 = 37°
The sum of adjacent angles sum up to 180°.
Let the adjacent angle be y
➩ y + 37 = 180
➩ y = 180 - 37
➩ y = 143°
Angles of Parallelogram = 37° , 143° , 37° and 143°.
Answered by
0
Answer:
ANGLES ARE 143°, 37°, 143° ,37°
Step-by-step explanation:
as it's a parallelogram , so it's opposite angles are equal .
so,
3x-2 = 50-x
3x+x=50+2
4x = 52
x= 52/4
x= 13°
Now from here you can find your angles as:
=3(13)-2
= 39- 2
= 37°
And then
Let other angle be y
As, Sum of adjacent Angles of llgm is 180°....
so,
y + 37° = 180°
y= 180°-37°
y= 143°
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