Math, asked by samanaatmakoor, 10 months ago

in quadrilateral angles are in AP the smallest angle is 15 find the remaining angle​

Answers

Answered by Shrika1010
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 = \\frac{360}{4} \\

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 ItzAditt007
6

YOUR ANSWER IS- 15°, 65°, 115°, 165°.

SEE THE ATTACHMENT FOR EXPLANATION.

Hope this will help you if it it helps then plz mark my answer as BRAINLIEST. And remember to always keep a smile on your face.

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