Question

please solve this with steps

Answer 1

Two angles of quadrilateral Always equal to 180° so,
one angle is 165° then other is equal to
165-x=180°
X=180°-165°
X=15°

Answer 2

sum of all angles of a quadrilateral = 360'
so sum of nth term = 360
n = 4
sn = n/2(a+l)
360' = 4/2(a+165') (l = 165')
a+165' = 180'
a = 15'

a= 15 , an = 165
$an = a + (n - 1)d$

165 = 15 + 3d
3d = 150
d = 50

angles = a , a+d , a+2d , a+3d
= 15 , 15+50 , 15+100 , 15+150
= 15 , 65 , 115 , 165.