Question

1. $overrightarrow{bd}$ bisects $angle abc$. find $mangle abd$.

$(6x + 14)^circ$
$(3x + 29)^circ$
show your work

Explanation:

planation:

Step1: Set angles equal (bisector property)

$6x + 14 = 3x + 29$

Step2: Solve for x (subtract 3x)

$3x + 14 = 29$

Step3: Isolate 3x (subtract 14)

$3x = 15$

Step4: Find x (divide by 3)

$x = 5$

Step5: Calculate $m\angle ABD$

$6(5) + 14 = 30 + 14$

Answer:

$44^\circ$