Question

What is the measure of ∠ABD?

27°
54°
114°
124°

Answer 1

the answer is 114

Explanation:

hope i helped all of you guys and girls

Answer 2

we know that

An exterior angle is equal to the sum of the two non adjacent angles

so

In this problem

`(4n+6)\°=2n\°+60\°`

Solve for n

Group terms that contain the same variable, and move the constant to the opposite side of the equation

`(4n-2n)\°=(60-6)\°`

Combine like terms

`2n\°=54\°`

`n=27\°`

Find the measure of angle ABD

∠ABD=
`(4n+6)\°`

Substitute the value of n

∠ABD=
`(4*27+6)\°=114\°`

therefore

the answer is the option

`114\°`