Question

the angles of a quadrilateral are in AP if the least angle is 15 degree find the remaining angles​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The remaining angles are 65° , 115° , 165°

Step-by-step explanation:

We are given that the angles of a quadrilateral are in AP

So, Let d be the common difference

Least angle =15°

So, AP : 15 , 15+d , 15+2d , 15+3d

Sum of all angles of quadrilateral is 360°

So, $15+15+d+15+2d+15+3d=360$

$60+6d=360$

$6d=300$

$d=\frac{300}{6}$

d=50

So, AP : 15, 15+50 , 15+2(50) , 15+3(50)

AP : 15, 65 , 115 , 165

So, The remaining angles are 65° , 115° , 165°

#Learn more:

The angle of an quadrilateral are in AP and the greatest angle is thrice the least angle find the angles of quadrilateral

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