in a quadrilateral, if it's four angles are in the ratio 5:2:4:7 then the sum if measures of the first two smaller angles is__________
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Answered by
2
Answer:
40 and 80
Step-by-step explanation:
at first we can represent the angles as 5x,2x,4x,and 7x.
as we can see that 2x and 4x are the smallest angles among the following. [ when x is a similar value ]
then
- 5x + 2x + 4x + 7x = 360° [ the sum of all angles of quadrilateral is 360°]
- 18x = 360°
- x = 360°÷18
- x = 20°
- then 2x is equal to 2 ×20° = 40°
- and 4x is equal to 4×20° = 80°
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Answered by
7
5x + 2x + 4x + 7x = 360
18x = 360
x = 20°
the angles are
5x is 100°
2x is 40°
4x is 80°
7x is 140°
the smaller Angle are 40,80
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