Question

in a quadrilateral, one angle is 75°, the remaining three angles are equal. then find the each of these angles.​

Answer 1

Step-by-step explanation:

let ABCD be the quadrilateral in which

<A = <B = <C and <D = 75 ...….................(1)

we know sum of all angles of a quadrilateral is equal to 360 degrees

hence,

<A + <B + <C + <D = 360

<A + <A + <A + 75 = 360 from (1)

3 <A = 360 - 75

3 <A. = 285

<A = 285/3

<A. = 95 degrees

<A = <B = <C =95'

Answer 2

Step-by-step explanation:

let the name of quadrilateral ABCD

angle A=75

and other three angle be x

so,we know that sum of all the angle of a quadrilateral is 360

so, the equation is:

75+3X= 360

3X=360-75

X=285/3

X=95

so,the sum of other three angle is 95

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