Find the measure of /abd

a.71
b.109
c. 119
d.132

Option C. 119°

Step-by-step explanation:

In the given triangle BCD, ∠DBC = 61° and ∠BDC = 48° are given.

We have to calculate the measure of ∠ ABD.

Since ∠ABD + ∠DBC = 180° [ supplementary angles ]

Therefore ∠ABD + 61° = 180°

∠ABD = 180° - 61°

∠ABD = 119°

We should not get confused with the measures of other angles given.

Option C. 119° is the measure of ∠ ABD

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2