4. Adjacent angles of a parallelogram are in the ratio
2:3. Find all the angles.
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Answered by
1
Answer:
Let the adjacent angles of the parallelogram be 2x and 3x.
We know that sum of adjacent angles of a parallelogram is 180o.
⇒ 2x + 3x = 180o
⇒ 5x = 180o
⇒ x = 36o
Therefore, adjacent angles are 2 × 36o = 72o and 3 × 36o = 108o
We know that the opposite angles of a parallelogram are equal.
Thus, the angles of the parallelogram are 72o, 108o, 72o, 108o.
Answered by
1
Step-by-step explanation:
let the ratio=x
according to question....
we know that sum of adjacent angle of parallelogram is 180
2x+3x=180
5x=180
x=180/5
x = 36degree
1st angle = 2×36= 72degree
2nd angle = 36×3= 108degree
hope it will help u
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