If m∠ABC is 160° , and m∠ABD is 92° , what is the angle measure of DBC ? ∠ABD and ∠DBC are adjacent angles inside ∠ABC .

Answer 1

To find the measure of angle DBC, we can use the fact that the sum of the measures of angles adjacent to angle ABC is equal to 180 degrees.

Let x be the measure of angle DBC.

m∠ABD + m∠DBC = 92° + x°

Since the sum of the measures of angles adjacent to angle ABC is 180 degrees:

92° + x° = 180°

To solve for x, subtract 92° from both sides of the equation:

x° = 180° - 92°

x° = 88°

Therefore, the angle measure of DBC is 88 degrees.