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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)° =》
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