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Angles about a Point

A ray BX divi...

Question

A ray BX divides an angle ABC into two equal parts. If one part is equal to 5x – 10 and the second part is equal to 40, then what is the value of x?

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Solution

Given, BX divides angle ABC into two equal parts. Thus, BX is the angle bisector.
Now, each part should measure equal.
5x – 10 = 40
5x = 40 + 10 = 50
x = 10
Hence, the value of x is 10.

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