Question

∠ AOC and ∠ BOC form a linear pair. If a – 2b = 30, find a and b.

Answer 1

Step-by-step explanation:

Given

angle AOC and angle BOC form a linear pair.

angle AOC =a , angle BOC=b

and a-2b=30.

Find the value of a and b .

To proof

As given

angle AOC and angle BOC form a linear pair

∠AOC + ∠BOC = 180°

put the value

a + b = 180

than the two equation becomes

a-2b=30 and a + b = 180

multiply a + b = 180 by 2 and subtracted from a-2b=30

2a + 2b - 2a + 4b = 360 - 60

6b = 300

b = 50

put this in the equation a + b = 180

a + 50 =180

a = 130

the value of a = 130 and b = 50

Hence proved

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