Understanding angle relationships, particularly alternate interior angles, is key in solving for unknown angle measures. In this case, if "m angle A = x" and "m angle B = 3x - 10", solving yields "x = 5". Therefore, both "m angle A" and "m angle B" are 5 degrees.
In geometry, understanding angle relationships is crucial for solving unknown angle measures. Consider a scenario where alternate interior angles are involved.
Step 1 involves identifying this angle relationship, acknowledging that alternate interior angles formed by a transversal cutting parallel lines are congruent.
Step 2 is to express this relationship in an equation. Let's denote the unknown angle measure as "x." For alternate interior angles, we can write an equation like "m angle A = m angle B," where "m" denotes the measure.
Step 3 entails solving the equation. If "m angle A = x" and "m angle B = 3x - 10," then "x = 3x - 10." Solving for "x," we find "x = 5."
Step 4 involves substituting this value back into the original expressions to determine the angle measures. So, "m angle A = 5" and "m angle B = 3(5) - 10 = 5."
In conclusion, understanding angle relationships and following these steps can help uncover unknown angle measures. In this example, the angles A and B both measure 5 degrees.