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BD bisects ABC. Ifm ABD - 3x +27 andm2DBC = 8x-33, what ism2 DBC?

Sagot :

because the line BC bisects the angle ABC we can do the next equality

the angles DBC and ABD are equals

angle ABD = angle DBC

the value of ABD = 3x+37

the value of DBC = 8x-33

then we can do the next equality with the values

3x+27=8x-33

we need to clear x, so the terms of x will go to the right side and the terms without x will go to the left side

27+33=8x-3x

60=5x

we can change the sides in order to have x

5x=60

x=60/5

x=12

angle DBC=8(12)-33=63

the angle DBC is 63°

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