Question

The supplement of an an angle added to the compliment of the angle queues 210 degree . find the angle

Answer 1

Let x is the given angle,

x+y = 180 (y is the supplements of angle x)

x-y = 90 (z is complementof angle x)

y+z = 210

add all three equation we get,

2x + 2y + 2z = 180+90+210 = 480

=> x+y+z = 240

=> x + 210 = 240. {put y+z =210}

=> x=30 degree