If m ABC is 160 and m ABD IS 92 , what is the angle measurement of DBC ? ABD and DBC are adjacent angles inside .
68
160
92
80
To find the angle measurement of DBC, we need to use the fact that angles in the same triangle add up to 180 degrees.
Since m(ABC) = 160 degrees and m(ABD) = 92 degrees, we can find the measure of angle BAC:
m(BAC) = m(ABC) - m(ABD)
= 160 - 92
= 68 degrees
Now, since angle BAC and angle DBC are adjacent angles in the same triangle, their measures add up to 180 degrees. Therefore:
m(DBC) = 180 - m(BAC)
= 180 - 68
= 112 degrees
Therefore, the angle measurement of DBC is 112 degrees. Therefore, the correct answer is 112.