Using the figure given below, find the value of x. (Assume all values are given in degrees)
A
17∘
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B
10∘
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C
50∘
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D
5∘
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Solution
The correct option is B10∘ Since the lines given in the figure are parallel lines being cut by a transversal, x and 3x-20 are forming Exterior Alternate angles.
Exterior Altenate angles are equal in measure. .
Therefore,
x= 3x-20
3x - x= 20
2x = 20
x = 10
Hence x = 10∘