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1. In a fig. , Angle AOC and angle BOC form a linear pair. If a - 2b = 30 degrees , find a and b.

$I f ∠ A O C = a, a n d ∠ B O C = b S i n c e ∠ A O C a n d ∠ B O C f o r m s a l i n e a r p a i r . T h e r e f o r e, a + b = 180^{0} ...... (1) a n d a - 2 b = 30^{0} ...... (2) (g i v e n) S u b t r a c t i n g e q u a t i o n (1) a n d (2), w e h a v e, 3 b = 150^{0} \Rightarrow b = \frac{150^{0}}{3} = 50^{0} s u b s t i t u t e v a l u e o f b i n e q u a t i o n (1), w e g e t, a + 50^{0} = 180^{0} \Rightarrow a = 130^{0} H e n c e, a = 130^{0}, a n d b = 50^{0}$

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