19. The angles of a quadrilateral are in AP. If the least
angle is 60°, find the other angles.
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Answer:
60 , 80 , 100 , 120
Step-by-step explanation:
given 60 is the lowest angle
so , a = 60
angle sum of a quadrilateral is 360,
therefore Sn=360,
there are 4 angles ,
so , n =4
d=?
Sn=n/2(2a+(n-1)d)
360 =4/2(2×60+(4-1)d)
360=2(120+3d)
360/2=120 + 3d
180= 120 +3d
180-120=3d
60=3d
60/3=d
20 =d
therefore d =20
so we can write the AP as 60 ,80 ,100, 120.
therefore the angles are 60,80,100,120.
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