In each diagram the line BD bisects angle ABC. Find the measure of angle ABC

∠ ABC = 134°

Step-by-step explanation:

Given tat CD bisects ∠ ABC then

∠ DBC = ∠ ABD , substitute values

x - 33 = + 17 ( multiply through by 2 to clear the fraction )

2x - 66 = x + 34 ( subtract x from both sides )

x - 66 = 34 ( add 66 to both sides )

x = 100

Thus

∠ DBC = ∠ ABD = x - 33 = 100 - 33 = 67°

Hence

∠ ABC = ∠ DBC + ∠ ABD = 67° + 67° = 134°

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value