Question

Solve for m, angle, a, b, cm∠abc if m∠abd=72 ∘ and m∠dbc=75°

a) m∠abc = 33°
b) m∠abc = 147°
c) m∠abc = 147°
d) m∠abc = 33°

Answer 1

To find angle ABC, we add the given angles if they are adjacent, making m∠ABC equal to 147°, suggesting option (b) is correct.

Step-by-step explanation:

The question provided is focusing on solving for an angle within a geometrical figure, specifically a triangle. Given that m∠ABD is 72° and m∠DBC is 75°, we can determine m∠ABC by understanding that the angles within a triangle sum up to 180°. However, without additional context it's not clear how these angles relate to each other, or if they are part of the same triangle. Typically, if angles ABD and DBC are adjacent, forming a straight line, then angle ABC would be the exterior angle equal to the sum of the two interior angles, which would make angle ABC equal to 72° + 75° = 147°. Hence, the correct answer would be option (b) m∠ABC = 147°.