Question

One angle of a quadrilateral is 150 degree and remaining three angles are equal. Find the measure of three equal angles

Answer 1

let A ,B C, D be the angles of quadrilateral
A=150 degree................(given)...(1)
B=C=D=x ... . . . . . . . (assume)...(2)
By using angle sum property of quadrilateral,we get
A+B+C+D =360
A+3x=360.........from 1 and 2
150+3x=360
3x=360-150
3x=210
x=210/3
x=70
Therefore,
Remaining 3 angles =x= 70 degree




Thank you.

Answer 2

Answer:

quadrilateral total angle = 360

I angle = 150

Let another angle be x

150 + x + x + x = 360

150 + 3x = 360

3x = 360 - 150

3x = 210

X = 210/3

x = 70

Angle will be 3x

150 + 70 + 70 + 70 = 360