If ∠BAD and ∠DAC form a linear pair and a∘−b∘=60∘ then find the values of a and b
∠BAD and ∠DAC form a linear pair.
∠BAD+∠DAC=180∘
⇒a∘+b∘=180∘ .......(1)
Given:a∘−b∘=60∘ ......(2)
Adding (1) and (2) we get
2a∘=180∘+60∘=240∘
⇒a∘=240∘2=120∘
Substitute a∘=120∘ in (1) we get
b∘=180∘−a∘=180∘−120∘=60∘
∴a=120∘ and b=60∘