The measure of <ABD is 60° and the measure of <ABC is 155°. What is the measure of <DBC?
To find the measure of angle DBC, we need to first find the measure of angle DBA.
Since angles in a triangle sum to 180 degrees, we have:
<ABD + <ABC + <DBC = 180 degrees.
Plugging in the given measures, we have:
60° + 155° + <DBC = 180°.
Simplifying, we have:
215° + <DBC = 180°.
Subtracting 215° from both sides, we have:
<DBC = 180° - 215°.
Simplifying, we have:
<DBC = -35°.
Therefore, the measure of angle DBC is -35 degrees.