The measure of <ABD is 60 degrees and the measure of < ABC is 155 degrees. What is the measure of < DBC?
215 degrees
95 degrees
180 degrees
155 degrees
The sum of the measures of the angles in a triangle is always 180 degrees.
So, 155 + 60 + angle DBC = 180.
Simplifying the equation:
215 + angle DBC = 180.
Subtracting 215 from both sides:
angle DBC = 180 - 215.
Simplifying:
angle DBC = -35.
However, angles cannot have negative measures.
Therefore, there is no valid measure for angle DBC in this case.