To find m∠ ABD we need to find the value of x first. Remember that the angle bisector always divides angle into two equal parts.
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Practice makes perfect
To find m∠ ABD we need to find the value of x first. Let's use the given information.
m∠ ABF &= 3x-8
m∠ ABD &= x+14
Also, since BD bisects ∠ ABF, and the angle bisector always divides angle into two equal parts, we know that m∠ ABF is twice m∠ ABD.
m∠ ABF=2m∠ ABD
Let's substitute the given values of m∠ ABF and m∠ ABD into this equation and solve it for x.
