Question

Ray BD is an angle bisector to Angle ABC. the measure of Angle ABD = 7x and the measure of angle DBC =9X-20. What is the value of x?

Answer 1

Since the ray BD is a angle bisector, it means that the angle will be divided in half and both parts will be equal. Therefore the angle ABD must be equal to the angle DBC, making both expressions equal we can find the value of x.

`\begin{gathered} 7x=9x-20 \\ -9x+7x=-20 \\ -2x=-20 \\ x=(-20)/(-2) \\ x=10 \end{gathered}`

The value of x is equal to 10.