The interior angles of a quadrilateral are x 15... - JAMB Mathematics 2010 Question

(x + 15)^o + (2x - 45)^o + (x + 10)^o = (2n - 4)90^o

when n = 4

x + 15^o + 2x - 45^o + x - 30^o + x + 10^o = (2 x 4 - 4) 90^o

5x - 50^o = (8 - 4)90^o

5x - 50^o = 4 x 90^o = 360^o

5x = 360^o + 50^o

5x = 410^o

x = \(\frac{410^o}{5}\)

= 82^o

Hence, the value of the least interior angle is (x - 30^o)

= (82 - 30)^o

= 52^o