Question

PLLZ Help is URGENT 50 points!!

Answer 1

I believe the answer is 12 then 4 and 16

Answer 2

Answer:

Since there is an angle bisector, the two smaller angles are congruent, so we can set them equal to each other

∠ABD=∠CBD

We know ∠ABD is 3x+6, and ∠CBD is 7x-18, so we can substitute them in

Solve for x by getting x by itself

3x+6=7x-18                

Subtract 3x from both sides

6=4x-18

Add 18 to both sides

24=4x

Divide both sides by 4

x=6

∠ABD

∠ABD=3x+6

We know x is 6, so we can substitute it in

∠ABD=3(6)+6

∠ABD=18+6

∠ABD=24

∠CBD

∠CBD=7x-18

We know x is 6, so we can substitute it in

∠CBD=7(6)-18

∠CBD=42-18

∠CBD=24

∠ABC

∠ABC=∠CBD+∠ABD

We know ∠CBD and ∠ABD are both 24, so we can substitute them in

∠ABC=24+24

∠ABC=48