Question

the angles of a quadrilateral are in ap with d=10 degree.Find the angles​

Answer 1

Answer:

.?..............................

Answer 2

Answer:

the sum of all angles of a quadrilateral = 360 degree

take a=x

d=10

so,

angle 1 = x

angle 2 , 3 and 4= x+10, ×+20 and ×+30

now,

×+×+10+×+20+×+30=360

4×+60=360

4×=360-60

4×=300

×=300÷4

×=75

now substitute x=75

a=75(angle one)

a+d=75+10=85( angle two )

a+2d=75+2×10=95( angle three )

a+3d=75+3×10=105( angle four)