The measure of angle ABD IS 60° and the measure of angle ABC is 155°. What is the measure of angle DBC?
To find the measure of angle DBC, we can use the fact that the sum of the angles in a triangle is 180 degrees.
The measure of angle ABC is 155°, and the measure of angle ABD is 60°. Angle ABD and angle ABC share side AB, so the sum of their measures must equal the measure of the interior angle at vertex B.
Let's call the measure of angle DBC x.
Using the fact that the sum of the angles in a triangle is 180 degrees, we can set up the equation:
155° + 60° + x = 180°
Combine like terms:
215° + x = 180°
Next, isolate x by subtracting 215° from both sides:
x = 180° - 215°
Subtract:
x = -35°
Since angles cannot have negative measures, the measure of angle DBC cannot be -35°.
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