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The measures of the angles of a quadrilateral are in the ratio 2:3:6:7. Find the number of degrees in the largest angle of the q
Question
The measures of the angles of a quadrilateral are in the
ratio 2:3:6:7. Find the number of degrees in the largest
angle of the quadrilateral.
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Mathematics
3 years
2021-07-29T01:50:42+00:00
2021-07-29T01:50:42+00:00 1 Answers
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Answers ( )
Answer:
140
Step-by-step explanation:
Consider a square for just a second. It has 4 angles each of 90 degrees. The total number of degrees in a square is 4 * 90 = 360.
It should be at least an appeal to your intuition to say that a quadrilateral has a total of 360 degrees.
Therefore the ratio you have been given must have 4 angles that add to 360.
2x + 3x + 6x + 7x = 360
18x =360
x = 20
So the 4 angles are
2* 20 = 40
3*20 = 60
6*20 = 120
7*20 = 140
Total 360
The largest angle is 140