Question

in the figure, PQR form for a linear pair if a-b =80°, then the value of A and B respectively ​

Answer 1

Answer:

a=130°

b=50°

Step-by-step explanation:

a-b=80°

a+b=180° ( Linear pair )

a=180-b

180-b-b=80

180-2b=80

2b=180-80

2b=100

b=50°

a=180-50

a=130°

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Answer 2

∵ ∠POR and ∠QOR form the linear pair.

=> ∠POR + ∠QOR = 180°

=> a + b = 180° …(1)

a – b = 80° …(2)

Adding Eqn. (1) & (2)

2a = 260 =>

a = 130°

From Eqn. (1) 130° + b = 180° => b = 50° a = 130°, b = 50°