Question:
In Fig: a is greater than b by one third of a right angle. Find the value of a and b?
Solution:
Since a and b are linear
a + b = 180
a = 180 – b ... (1)
From given data, a is greater than b by one third of a right angle
a = b + 90/3
a = b + 30
a – b = 30 ... (2)
Equating (1) and (2)
180 – b = b + 30
180 – 30 = 2b
b = 150 / 2
b = 75
From (1)
a = 180 – b
a = 180 – 75
a = 105
Hence the values of a and b are 105° and 75° respectively.