in fig 10 .35 angle AOC and angle BOC from a linear pair . if a-2b =30 degree , find a and b
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Here, a = 130° and b = 50°
Step-by-step explanation:
Now as it is written in question,
a-2b = 30°
a = 30°+ 2b ________ (1)
As we know that Angle AOC and Angle BOC are in linear pair ,so we can say that,
Angle AOC + Angle BOC = 180°
a + b = 180° ___________(2)
Putting the value of a in equation (2) from equation (1) we get,
30°+ 2b +b = 180°
30° + 3b = 180°
3b = 180°-30°
b = 50°
Now putting the value of b in equation (1) we get,
a = 30°+ 2 × 50°
a = 130°
Hence,
a = 130° and b = 50°.
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