Supplymentary Angles Angle A and Angle B are supplymentary a

Supplymentary Angles Angle A and Angle B are supplymentary angles. Find the measurement of each angle if angle A IS 30 degree greaterthan angle B.

Solution

Property of supplementary angles: A +B = 180 ----(1)

angle A IS 30 degree greaterthan angle B.

A = 30 +B -----(2)

A -B = 30

Solve equations 1 and 2 to get value of A and B

Adding the two equations we get: 2A = 210

A = 105 deg

B = 180 -A = 180 -105 = 75 deg