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Question

Consider the figure:

If A = 50​, B = 70​, and x = 2y, then find the value of x + y+ ACB.


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Solution

x + y = A+B (exterior angle property)
= 120
also, x = 2y
thus, 3y = 120
or y = 40
Hence, x = 80

x + y +ACB = 180


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