Quadrilateral MRPN is cyclic, angle R = (4x + 10)° , angle N = (5x - 1)° . Find the measures of angle R and angle N.
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Answer:
In quadrilateral the sum of two adjacent angles is 180. (two angles on same line)
Equation :
(4x+10)+(5x-1) = 180
=> 4x + 10 + 5x - 1 = 180
=> 9x = 180 - 10 + 1
=> 9x = 171
=> x = 171/9
=> x = 19
1st angle => (4× 19 + 10) = 86
2nd angle => (5×19-1) = 94
Verification => 86+94 = 180
Hence verified.
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