three angles of quadrilateral are in ratio 3:5:7. the difference of the least and greatest of these angles is 76°.find all the four angle
Answers
Answer:
57°, 75° , 95° , 133°
Step-by-step explanation:
We are given three angles and 76 is the difference between the greatest and the least angle in the quadrilateral.
Remember that the total angle in a quadrilateral is 360 degrees.
So, three angles are given in a ratio of 3:5:7
Let's take these angles as 3x,5x and 7x.
The greatest angle --> 7x
The least angle --> 3x
The difference between them is 76.
...7x - 3x = 76
...4x = 76
...x = 76/4
...x = 19 degrees
The three angles are:
1) 3(19) = 57 degrees
2) 5(19) = 95 degrees
3) 7(19) = 133 degrees
As I told, the total sum of angles in a quadrilateral is 360 degrees. hece, the 4th angle is 360 - ( 57 + 95 + 133 )
... 360 - ( 285 )
... 75 degrees
Therefore, the 4 angles are 57, 75,95,133
Step-by-step explanation:
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