Question - Finding the Value of x in Angle Bisector Problem
Solution:
The task is to find the value of x given that M is a point on the bisector of the angle AOB. Since OM is the bisector, it divides the angle AOB into two equal angles.The expressions for the angles on either side of OM are given as (3x + 12)° and (5x + 6)°. Since these two angles are equal, we can set up the following equation:3x + 12 = 5x + 6Now let's solve for x:3x + 12 − 12 = 5x + 6 − 123x = 5x − 6Now, subtract 5x from both sides:3x − 5x = −6−2x = −6Divide both sides by -2:x = −6 / −2x = 3Therefore, the value of x is 3.
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