in the figure if a-b=100 then what are the measures of a and b
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a = 140° & b = 40°
Step-by-step explanation:
a - b = 100 => a = 100 + b
We know that Angle made by straight line is 180, i.e., whenever we construct a 180-degree angle, it always forms a straight line
∴ a + b = 180
=> (100 + b) + b = 180 (substituting a = 100 + b, from above equation)
=> 100 + 2b = 180
=> 2b = 180 - 100 = 80
=> b = 80/2 = 40
=> a = 100 + b = 100 + 40 = 140
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