in quadrilateral angles are in AP the smallest angle is 15 find the remaining angle
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5
Answer:
Step-by-step explanation:
Let the angles be x-3d, x-d, x+d and x+3d (we're taking the angles in this form so that on addition, we will be only left with x terms making calculation easier)
Now, the sum of all the angles in a quadrilateral is 360.
On adding these, we get,
(x-3d)+(x-d)+(x+d)+(x+3d) = 360°
4x= 360°
x =
x = 90°
Given,
x-3d = 15
90 - 3d = 15
3d = 75
d = 25
After that we substitute the x and d values
Therefore the angles are 15°, 65°, 115° and 165°
Answered by
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YOUR ANSWER IS- 15°, 65°, 115°, 165°.
SEE THE ATTACHMENT FOR EXPLANATION.
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