1.

The angles of a quadrilateral are in AP, if the smallest angle is 30 degree ,find the other angles .​

Answer»

ANSWER:

Since the angles are in AP, we can say that the angles will be = a, a+d, a+2D, a+3D, a+4d

Now, we KNOW that the sum of all the angles in a quadrilateral is equal to 360°

=》 a + a + 2d + a + 3d + a + 4d = 360

=》 4a + 10d = 360

=》 10d = 360 - 120

=》 10d = 240

=》 d = 24°

Thus, angles = 30°, (30+24)°, (30+48)°, (30+72)°

=》 \sf{Angles= 30\degree, 54\degree, 78\degree, 102\degree}



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